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Simplifying 10 + -3(q + 2) = q + 16 Reorder the terms: 10 + -3(2 + q) = q + 16 10 + (2 * -3 + q * -3) = q + 16 10 + (-6 + -3q) = q + 16 Combine like terms: 10 + -6 = 4 4 + -3q = q + 16 Reorder the terms: 4 + -3q = 16 + q Solving 4 + -3q = 16 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 4 + -3q + -1q = 16 + q + -1q Combine like terms: -3q + -1q = -4q 4 + -4q = 16 + q + -1q Combine like terms: q + -1q = 0 4 + -4q = 16 + 0 4 + -4q = 16 Add '-4' to each side of the equation. 4 + -4 + -4q = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -4q = 16 + -4 -4q = 16 + -4 Combine like terms: 16 + -4 = 12 -4q = 12 Divide each side by '-4'. q = -3 Simplifying q = -3
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