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Simplifying 6q + -4(q + 6) = 10q Reorder the terms: 6q + -4(6 + q) = 10q 6q + (6 * -4 + q * -4) = 10q 6q + (-24 + -4q) = 10q Reorder the terms: -24 + 6q + -4q = 10q Combine like terms: 6q + -4q = 2q -24 + 2q = 10q Solving -24 + 2q = 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. -24 + 2q + -10q = 10q + -10q Combine like terms: 2q + -10q = -8q -24 + -8q = 10q + -10q Combine like terms: 10q + -10q = 0 -24 + -8q = 0 Add '24' to each side of the equation. -24 + 24 + -8q = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -8q = 0 + 24 -8q = 0 + 24 Combine like terms: 0 + 24 = 24 -8q = 24 Divide each side by '-8'. q = -3 Simplifying q = -3
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