what is the value of m?\n\\( \\frac { 1 } { 3 } m + 3 - \\frac { 5 } { 6 } m = - 15 \\)\n\\( m = - 36…

what is the value of m?\n\\( \\frac { 1 } { 3 } m + 3 - \\frac { 5 } { 6 } m = - 15 \\)\n\\( m = - 36 \\)\n\\( m = - 27 \\)\n\\( m = 27 \\)\n\\( m = 36 \\)

what is the value of m?\n\\( \\frac { 1 } { 3 } m + 3 - \\frac { 5 } { 6 } m = - 15 \\)\n\\( m = - 36 \\)\n\\( m = - 27 \\)\n\\( m = 27 \\)\n\\( m = 36 \\)

Answer

Explanation:

Step1: Convert mixed numbers to improper fractions

$\frac{1}{3}m + 3-\frac{5}{6}m=-15$ can be rewritten as $\frac{2}{6}m-\frac{5}{6}m=-15 - 3$.

Step2: Combine like - terms

$-\frac{3}{6}m=-18$.

Step3: Simplify the fraction

$-\frac{1}{2}m=-18$.

Step4: Solve for (m)

Multiply both sides by (-2), we get (m = 36).

Answer:

(m = 36)