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Simplifying 2(m + -7) = 6(m + 1) Reorder the terms: 2(-7 + m) = 6(m + 1) (-7 * 2 + m * 2) = 6(m + 1) (-14 + 2m) = 6(m + 1) Reorder the terms: -14 + 2m = 6(1 + m) -14 + 2m = (1 * 6 + m * 6) -14 + 2m = (6 + 6m) Solving -14 + 2m = 6 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -14 + 2m + -6m = 6 + 6m + -6m Combine like terms: 2m + -6m = -4m -14 + -4m = 6 + 6m + -6m Combine like terms: 6m + -6m = 0 -14 + -4m = 6 + 0 -14 + -4m = 6 Add '14' to each side of the equation. -14 + 14 + -4m = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -4m = 6 + 14 -4m = 6 + 14 Combine like terms: 6 + 14 = 20 -4m = 20 Divide each side by '-4'. m = -5 Simplifying m = -5
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