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Simplifying 5(2m + 1) + -3 = 2(m + -6) Reorder the terms: 5(1 + 2m) + -3 = 2(m + -6) (1 * 5 + 2m * 5) + -3 = 2(m + -6) (5 + 10m) + -3 = 2(m + -6) Reorder the terms: 5 + -3 + 10m = 2(m + -6) Combine like terms: 5 + -3 = 2 2 + 10m = 2(m + -6) Reorder the terms: 2 + 10m = 2(-6 + m) 2 + 10m = (-6 * 2 + m * 2) 2 + 10m = (-12 + 2m) Solving 2 + 10m = -12 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 2 + 10m + -2m = -12 + 2m + -2m Combine like terms: 10m + -2m = 8m 2 + 8m = -12 + 2m + -2m Combine like terms: 2m + -2m = 0 2 + 8m = -12 + 0 2 + 8m = -12 Add '-2' to each side of the equation. 2 + -2 + 8m = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 8m = -12 + -2 8m = -12 + -2 Combine like terms: -12 + -2 = -14 8m = -14 Divide each side by '8'. m = -1.75 Simplifying m = -1.75
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