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Simplifying q + 4.5 = 3q + -27 Reorder the terms: 4.5 + q = 3q + -27 Reorder the terms: 4.5 + q = -27 + 3q Solving 4.5 + q = -27 + 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. 4.5 + q + -3q = -27 + 3q + -3q Combine like terms: q + -3q = -2q 4.5 + -2q = -27 + 3q + -3q Combine like terms: 3q + -3q = 0 4.5 + -2q = -27 + 0 4.5 + -2q = -27 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -2q = -27 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -2q = -27 + -4.5 -2q = -27 + -4.5 Combine like terms: -27 + -4.5 = -31.5 -2q = -31.5 Divide each side by '-2'. q = 15.75 Simplifying q = 15.75
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