6(q-7)-3(4-q)=-30

Solution for 6(q-7)-3(4-q)=-30 equation:

Simplifying
6(q + -7) + -3(4 + -1q) = -30

Reorder the terms:
6(-7 + q) + -3(4 + -1q) = -30
(-7 * 6 + q * 6) + -3(4 + -1q) = -30
(-42 + 6q) + -3(4 + -1q) = -30
-42 + 6q + (4 * -3 + -1q * -3) = -30
-42 + 6q + (-12 + 3q) = -30

Reorder the terms:
-42 + -12 + 6q + 3q = -30

Combine like terms: -42 + -12 = -54
-54 + 6q + 3q = -30

Combine like terms: 6q + 3q = 9q
-54 + 9q = -30

Solving
-54 + 9q = -30

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '54' to each side of the equation.
-54 + 54 + 9q = -30 + 54

Combine like terms: -54 + 54 = 0
0 + 9q = -30 + 54
9q = -30 + 54

Combine like terms: -30 + 54 = 24
9q = 24

Divide each side by '9'.
q = 2.666666667

Simplifying
q = 2.666666667