6(2-3q)-5(8q+3)=0

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Solution for 6(2-3q)-5(8q+3)=0 equation:


Simplifying
6(2 + -3q) + -5(8q + 3) = 0
(2 * 6 + -3q * 6) + -5(8q + 3) = 0
(12 + -18q) + -5(8q + 3) = 0

Reorder the terms:
12 + -18q + -5(3 + 8q) = 0
12 + -18q + (3 * -5 + 8q * -5) = 0
12 + -18q + (-15 + -40q) = 0

Reorder the terms:
12 + -15 + -18q + -40q = 0

Combine like terms: 12 + -15 = -3
-3 + -18q + -40q = 0

Combine like terms: -18q + -40q = -58q
-3 + -58q = 0

Solving
-3 + -58q = 0

Solving for variable 'q'.

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

Add '3' to each side of the equation.
-3 + 3 + -58q = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -58q = 0 + 3
-58q = 0 + 3

Combine like terms: 0 + 3 = 3
-58q = 3

Divide each side by '-58'.
q = -0.05172413793

Simplifying
q = -0.05172413793

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