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Simplifying 6(m + -7) = 2m + -10 Reorder the terms: 6(-7 + m) = 2m + -10 (-7 * 6 + m * 6) = 2m + -10 (-42 + 6m) = 2m + -10 Reorder the terms: -42 + 6m = -10 + 2m Solving -42 + 6m = -10 + 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. -42 + 6m + -2m = -10 + 2m + -2m Combine like terms: 6m + -2m = 4m -42 + 4m = -10 + 2m + -2m Combine like terms: 2m + -2m = 0 -42 + 4m = -10 + 0 -42 + 4m = -10 Add '42' to each side of the equation. -42 + 42 + 4m = -10 + 42 Combine like terms: -42 + 42 = 0 0 + 4m = -10 + 42 4m = -10 + 42 Combine like terms: -10 + 42 = 32 4m = 32 Divide each side by '4'. m = 8 Simplifying m = 8
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