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Simplifying 0.5(3q + 87) = 1.5q + 43.5 Reorder the terms: 0.5(87 + 3q) = 1.5q + 43.5 (87 * 0.5 + 3q * 0.5) = 1.5q + 43.5 (43.5 + 1.5q) = 1.5q + 43.5 Reorder the terms: 43.5 + 1.5q = 43.5 + 1.5q Add '-43.5' to each side of the equation. 43.5 + -43.5 + 1.5q = 43.5 + -43.5 + 1.5q Combine like terms: 43.5 + -43.5 = 0.0 0.0 + 1.5q = 43.5 + -43.5 + 1.5q 1.5q = 43.5 + -43.5 + 1.5q Combine like terms: 43.5 + -43.5 = 0.0 1.5q = 0.0 + 1.5q 1.5q = 1.5q Add '-1.5q' to each side of the equation. 1.5q + -1.5q = 1.5q + -1.5q Combine like terms: 1.5q + -1.5q = 0.0 0.0 = 1.5q + -1.5q Combine like terms: 1.5q + -1.5q = 0.0 0.0 = 0.0 Solving 0.0 = 0.0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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