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Simplifying -38 + 7m = 4(1 + 7m) -38 + 7m = (1 * 4 + 7m * 4) -38 + 7m = (4 + 28m) Solving -38 + 7m = 4 + 28m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28m' to each side of the equation. -38 + 7m + -28m = 4 + 28m + -28m Combine like terms: 7m + -28m = -21m -38 + -21m = 4 + 28m + -28m Combine like terms: 28m + -28m = 0 -38 + -21m = 4 + 0 -38 + -21m = 4 Add '38' to each side of the equation. -38 + 38 + -21m = 4 + 38 Combine like terms: -38 + 38 = 0 0 + -21m = 4 + 38 -21m = 4 + 38 Combine like terms: 4 + 38 = 42 -21m = 42 Divide each side by '-21'. m = -2 Simplifying m = -2
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