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Simplifying -38 = -1(7m + 4) + -3(1 + 8m) Reorder the terms: -38 = -1(4 + 7m) + -3(1 + 8m) -38 = (4 * -1 + 7m * -1) + -3(1 + 8m) -38 = (-4 + -7m) + -3(1 + 8m) -38 = -4 + -7m + (1 * -3 + 8m * -3) -38 = -4 + -7m + (-3 + -24m) Reorder the terms: -38 = -4 + -3 + -7m + -24m Combine like terms: -4 + -3 = -7 -38 = -7 + -7m + -24m Combine like terms: -7m + -24m = -31m -38 = -7 + -31m Solving -38 = -7 + -31m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '31m' to each side of the equation. -38 + 31m = -7 + -31m + 31m Combine like terms: -31m + 31m = 0 -38 + 31m = -7 + 0 -38 + 31m = -7 Add '38' to each side of the equation. -38 + 38 + 31m = -7 + 38 Combine like terms: -38 + 38 = 0 0 + 31m = -7 + 38 31m = -7 + 38 Combine like terms: -7 + 38 = 31 31m = 31 Divide each side by '31'. m = 1 Simplifying m = 1
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