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Simplifying 5 + 7q = -7 + 10q Solving 5 + 7q = -7 + 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. 5 + 7q + -10q = -7 + 10q + -10q Combine like terms: 7q + -10q = -3q 5 + -3q = -7 + 10q + -10q Combine like terms: 10q + -10q = 0 5 + -3q = -7 + 0 5 + -3q = -7 Add '-5' to each side of the equation. 5 + -5 + -3q = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -3q = -7 + -5 -3q = -7 + -5 Combine like terms: -7 + -5 = -12 -3q = -12 Divide each side by '-3'. q = 4 Simplifying q = 4
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