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Simplifying -4(2m + 7) = 0.05(6 + -16m) Reorder the terms: -4(7 + 2m) = 0.05(6 + -16m) (7 * -4 + 2m * -4) = 0.05(6 + -16m) (-28 + -8m) = 0.05(6 + -16m) -28 + -8m = (6 * 0.05 + -16m * 0.05) -28 + -8m = (0.3 + -0.8m) Solving -28 + -8m = 0.3 + -0.8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.8m' to each side of the equation. -28 + -8m + 0.8m = 0.3 + -0.8m + 0.8m Combine like terms: -8m + 0.8m = -7.2m -28 + -7.2m = 0.3 + -0.8m + 0.8m Combine like terms: -0.8m + 0.8m = 0.0 -28 + -7.2m = 0.3 + 0.0 -28 + -7.2m = 0.3 Add '28' to each side of the equation. -28 + 28 + -7.2m = 0.3 + 28 Combine like terms: -28 + 28 = 0 0 + -7.2m = 0.3 + 28 -7.2m = 0.3 + 28 Combine like terms: 0.3 + 28 = 28.3 -7.2m = 28.3 Divide each side by '-7.2'. m = -3.930555556 Simplifying m = -3.930555556
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