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Simplifying 8m + -10(3 + m) = 42 + 2m 8m + (3 * -10 + m * -10) = 42 + 2m 8m + (-30 + -10m) = 42 + 2m Reorder the terms: -30 + 8m + -10m = 42 + 2m Combine like terms: 8m + -10m = -2m -30 + -2m = 42 + 2m Solving -30 + -2m = 42 + 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. -30 + -2m + -2m = 42 + 2m + -2m Combine like terms: -2m + -2m = -4m -30 + -4m = 42 + 2m + -2m Combine like terms: 2m + -2m = 0 -30 + -4m = 42 + 0 -30 + -4m = 42 Add '30' to each side of the equation. -30 + 30 + -4m = 42 + 30 Combine like terms: -30 + 30 = 0 0 + -4m = 42 + 30 -4m = 42 + 30 Combine like terms: 42 + 30 = 72 -4m = 72 Divide each side by '-4'. m = -18 Simplifying m = -18
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