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Simplifying 180 = 7q + -46 + 3q + 6 Reorder the terms: 180 = -46 + 6 + 7q + 3q Combine like terms: -46 + 6 = -40 180 = -40 + 7q + 3q Combine like terms: 7q + 3q = 10q 180 = -40 + 10q Solving 180 = -40 + 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. 180 + -10q = -40 + 10q + -10q Combine like terms: 10q + -10q = 0 180 + -10q = -40 + 0 180 + -10q = -40 Add '-180' to each side of the equation. 180 + -180 + -10q = -40 + -180 Combine like terms: 180 + -180 = 0 0 + -10q = -40 + -180 -10q = -40 + -180 Combine like terms: -40 + -180 = -220 -10q = -220 Divide each side by '-10'. q = 22 Simplifying q = 22
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