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Simplifying 10q + 45 = -7 + -3q Reorder the terms: 45 + 10q = -7 + -3q Solving 45 + 10q = -7 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 45 + 10q + 3q = -7 + -3q + 3q Combine like terms: 10q + 3q = 13q 45 + 13q = -7 + -3q + 3q Combine like terms: -3q + 3q = 0 45 + 13q = -7 + 0 45 + 13q = -7 Add '-45' to each side of the equation. 45 + -45 + 13q = -7 + -45 Combine like terms: 45 + -45 = 0 0 + 13q = -7 + -45 13q = -7 + -45 Combine like terms: -7 + -45 = -52 13q = -52 Divide each side by '13'. q = -4 Simplifying q = -4
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