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Simplifying 10q + -45 = 13q + -69 Reorder the terms: -45 + 10q = 13q + -69 Reorder the terms: -45 + 10q = -69 + 13q Solving -45 + 10q = -69 + 13q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13q' to each side of the equation. -45 + 10q + -13q = -69 + 13q + -13q Combine like terms: 10q + -13q = -3q -45 + -3q = -69 + 13q + -13q Combine like terms: 13q + -13q = 0 -45 + -3q = -69 + 0 -45 + -3q = -69 Add '45' to each side of the equation. -45 + 45 + -3q = -69 + 45 Combine like terms: -45 + 45 = 0 0 + -3q = -69 + 45 -3q = -69 + 45 Combine like terms: -69 + 45 = -24 -3q = -24 Divide each side by '-3'. q = 8 Simplifying q = 8
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