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Simplifying 7(4m + -2) = 2m + 38 Reorder the terms: 7(-2 + 4m) = 2m + 38 (-2 * 7 + 4m * 7) = 2m + 38 (-14 + 28m) = 2m + 38 Reorder the terms: -14 + 28m = 38 + 2m Solving -14 + 28m = 38 + 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. -14 + 28m + -2m = 38 + 2m + -2m Combine like terms: 28m + -2m = 26m -14 + 26m = 38 + 2m + -2m Combine like terms: 2m + -2m = 0 -14 + 26m = 38 + 0 -14 + 26m = 38 Add '14' to each side of the equation. -14 + 14 + 26m = 38 + 14 Combine like terms: -14 + 14 = 0 0 + 26m = 38 + 14 26m = 38 + 14 Combine like terms: 38 + 14 = 52 26m = 52 Divide each side by '26'. m = 2 Simplifying m = 2
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