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Simplifying 0.5(16m + 42) + 0.5(3 * 18) = 0.5(4 * 36) Reorder the terms: 0.5(42 + 16m) + 0.5(3 * 18) = 0.5(4 * 36) (42 * 0.5 + 16m * 0.5) + 0.5(3 * 18) = 0.5(4 * 36) (21 + 8m) + 0.5(3 * 18) = 0.5(4 * 36) Multiply 3 * 18 21 + 8m + 0.5(54) = 0.5(4 * 36) Multiply 0.5 * 54 21 + 8m + 27 = 0.5(4 * 36) Reorder the terms: 21 + 27 + 8m = 0.5(4 * 36) Combine like terms: 21 + 27 = 48 48 + 8m = 0.5(4 * 36) Multiply 4 * 36 48 + 8m = 0.5(144) Multiply 0.5 * 144 48 + 8m = 72 Solving 48 + 8m = 72 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 8m = 72 + -48 Combine like terms: 48 + -48 = 0 0 + 8m = 72 + -48 8m = 72 + -48 Combine like terms: 72 + -48 = 24 8m = 24 Divide each side by '8'. m = 3 Simplifying m = 3
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