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Simplifying 2(m + -6) + 4 = 10(m + 4) Reorder the terms: 2(-6 + m) + 4 = 10(m + 4) (-6 * 2 + m * 2) + 4 = 10(m + 4) (-12 + 2m) + 4 = 10(m + 4) Reorder the terms: -12 + 4 + 2m = 10(m + 4) Combine like terms: -12 + 4 = -8 -8 + 2m = 10(m + 4) Reorder the terms: -8 + 2m = 10(4 + m) -8 + 2m = (4 * 10 + m * 10) -8 + 2m = (40 + 10m) Solving -8 + 2m = 40 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -8 + 2m + -10m = 40 + 10m + -10m Combine like terms: 2m + -10m = -8m -8 + -8m = 40 + 10m + -10m Combine like terms: 10m + -10m = 0 -8 + -8m = 40 + 0 -8 + -8m = 40 Add '8' to each side of the equation. -8 + 8 + -8m = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -8m = 40 + 8 -8m = 40 + 8 Combine like terms: 40 + 8 = 48 -8m = 48 Divide each side by '-8'. m = -6 Simplifying m = -6
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