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Simplifying 45q + -30 = 72q + -84 Reorder the terms: -30 + 45q = 72q + -84 Reorder the terms: -30 + 45q = -84 + 72q Solving -30 + 45q = -84 + 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. -30 + 45q + -72q = -84 + 72q + -72q Combine like terms: 45q + -72q = -27q -30 + -27q = -84 + 72q + -72q Combine like terms: 72q + -72q = 0 -30 + -27q = -84 + 0 -30 + -27q = -84 Add '30' to each side of the equation. -30 + 30 + -27q = -84 + 30 Combine like terms: -30 + 30 = 0 0 + -27q = -84 + 30 -27q = -84 + 30 Combine like terms: -84 + 30 = -54 -27q = -54 Divide each side by '-27'. q = 2 Simplifying q = 2
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