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Simplifying 7(4m + -6) + -2m = 2(20m + -7) Reorder the terms: 7(-6 + 4m) + -2m = 2(20m + -7) (-6 * 7 + 4m * 7) + -2m = 2(20m + -7) (-42 + 28m) + -2m = 2(20m + -7) Combine like terms: 28m + -2m = 26m -42 + 26m = 2(20m + -7) Reorder the terms: -42 + 26m = 2(-7 + 20m) -42 + 26m = (-7 * 2 + 20m * 2) -42 + 26m = (-14 + 40m) Solving -42 + 26m = -14 + 40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40m' to each side of the equation. -42 + 26m + -40m = -14 + 40m + -40m Combine like terms: 26m + -40m = -14m -42 + -14m = -14 + 40m + -40m Combine like terms: 40m + -40m = 0 -42 + -14m = -14 + 0 -42 + -14m = -14 Add '42' to each side of the equation. -42 + 42 + -14m = -14 + 42 Combine like terms: -42 + 42 = 0 0 + -14m = -14 + 42 -14m = -14 + 42 Combine like terms: -14 + 42 = 28 -14m = 28 Divide each side by '-14'. m = -2 Simplifying m = -2
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