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Simplifying (8m + -4) * 0.5 + -18 = 14(2m + 2) Reorder the terms: (-4 + 8m) * 0.5 + -18 = 14(2m + 2) Reorder the terms for easier multiplication: 0.5(-4 + 8m) + -18 = 14(2m + 2) (-4 * 0.5 + 8m * 0.5) + -18 = 14(2m + 2) (-2 + 4m) + -18 = 14(2m + 2) Reorder the terms: -2 + -18 + 4m = 14(2m + 2) Combine like terms: -2 + -18 = -20 -20 + 4m = 14(2m + 2) Reorder the terms: -20 + 4m = 14(2 + 2m) -20 + 4m = (2 * 14 + 2m * 14) -20 + 4m = (28 + 28m) Solving -20 + 4m = 28 + 28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28m' to each side of the equation. -20 + 4m + -28m = 28 + 28m + -28m Combine like terms: 4m + -28m = -24m -20 + -24m = 28 + 28m + -28m Combine like terms: 28m + -28m = 0 -20 + -24m = 28 + 0 -20 + -24m = 28 Add '20' to each side of the equation. -20 + 20 + -24m = 28 + 20 Combine like terms: -20 + 20 = 0 0 + -24m = 28 + 20 -24m = 28 + 20 Combine like terms: 28 + 20 = 48 -24m = 48 Divide each side by '-24'. m = -2 Simplifying m = -2
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