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Simplifying 2(-2 + -3q) = -3(-2 + -4q) + 26 (-2 * 2 + -3q * 2) = -3(-2 + -4q) + 26 (-4 + -6q) = -3(-2 + -4q) + 26 -4 + -6q = (-2 * -3 + -4q * -3) + 26 -4 + -6q = (6 + 12q) + 26 Reorder the terms: -4 + -6q = 6 + 26 + 12q Combine like terms: 6 + 26 = 32 -4 + -6q = 32 + 12q Solving -4 + -6q = 32 + 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. -4 + -6q + -12q = 32 + 12q + -12q Combine like terms: -6q + -12q = -18q -4 + -18q = 32 + 12q + -12q Combine like terms: 12q + -12q = 0 -4 + -18q = 32 + 0 -4 + -18q = 32 Add '4' to each side of the equation. -4 + 4 + -18q = 32 + 4 Combine like terms: -4 + 4 = 0 0 + -18q = 32 + 4 -18q = 32 + 4 Combine like terms: 32 + 4 = 36 -18q = 36 Divide each side by '-18'. q = -2 Simplifying q = -2
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