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Simplifying -4(-10m + 3) = -1(-7 + -8m) Reorder the terms: -4(3 + -10m) = -1(-7 + -8m) (3 * -4 + -10m * -4) = -1(-7 + -8m) (-12 + 40m) = -1(-7 + -8m) -12 + 40m = (-7 * -1 + -8m * -1) -12 + 40m = (7 + 8m) Solving -12 + 40m = 7 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -12 + 40m + -8m = 7 + 8m + -8m Combine like terms: 40m + -8m = 32m -12 + 32m = 7 + 8m + -8m Combine like terms: 8m + -8m = 0 -12 + 32m = 7 + 0 -12 + 32m = 7 Add '12' to each side of the equation. -12 + 12 + 32m = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 32m = 7 + 12 32m = 7 + 12 Combine like terms: 7 + 12 = 19 32m = 19 Divide each side by '32'. m = 0.59375 Simplifying m = 0.59375
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