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Simplifying 0.6(6m + -3) + 10 = -8(m + 2) Reorder the terms: 0.6(-3 + 6m) + 10 = -8(m + 2) (-3 * 0.6 + 6m * 0.6) + 10 = -8(m + 2) (-1.8 + 3.6m) + 10 = -8(m + 2) Reorder the terms: -1.8 + 10 + 3.6m = -8(m + 2) Combine like terms: -1.8 + 10 = 8.2 8.2 + 3.6m = -8(m + 2) Reorder the terms: 8.2 + 3.6m = -8(2 + m) 8.2 + 3.6m = (2 * -8 + m * -8) 8.2 + 3.6m = (-16 + -8m) Solving 8.2 + 3.6m = -16 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 8.2 + 3.6m + 8m = -16 + -8m + 8m Combine like terms: 3.6m + 8m = 11.6m 8.2 + 11.6m = -16 + -8m + 8m Combine like terms: -8m + 8m = 0 8.2 + 11.6m = -16 + 0 8.2 + 11.6m = -16 Add '-8.2' to each side of the equation. 8.2 + -8.2 + 11.6m = -16 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + 11.6m = -16 + -8.2 11.6m = -16 + -8.2 Combine like terms: -16 + -8.2 = -24.2 11.6m = -24.2 Divide each side by '11.6'. m = -2.086206897 Simplifying m = -2.086206897
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