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Simplifying 27q + -10 = 72q + -100 Reorder the terms: -10 + 27q = 72q + -100 Reorder the terms: -10 + 27q = -100 + 72q Solving -10 + 27q = -100 + 72q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-72q' to each side of the equation. -10 + 27q + -72q = -100 + 72q + -72q Combine like terms: 27q + -72q = -45q -10 + -45q = -100 + 72q + -72q Combine like terms: 72q + -72q = 0 -10 + -45q = -100 + 0 -10 + -45q = -100 Add '10' to each side of the equation. -10 + 10 + -45q = -100 + 10 Combine like terms: -10 + 10 = 0 0 + -45q = -100 + 10 -45q = -100 + 10 Combine like terms: -100 + 10 = -90 -45q = -90 Divide each side by '-45'. q = 2 Simplifying q = 2
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