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Simplifying -16 = -8(m + -7) + 4(7m + -3) Reorder the terms: -16 = -8(-7 + m) + 4(7m + -3) -16 = (-7 * -8 + m * -8) + 4(7m + -3) -16 = (56 + -8m) + 4(7m + -3) Reorder the terms: -16 = 56 + -8m + 4(-3 + 7m) -16 = 56 + -8m + (-3 * 4 + 7m * 4) -16 = 56 + -8m + (-12 + 28m) Reorder the terms: -16 = 56 + -12 + -8m + 28m Combine like terms: 56 + -12 = 44 -16 = 44 + -8m + 28m Combine like terms: -8m + 28m = 20m -16 = 44 + 20m Solving -16 = 44 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. -16 + -20m = 44 + 20m + -20m Combine like terms: 20m + -20m = 0 -16 + -20m = 44 + 0 -16 + -20m = 44 Add '16' to each side of the equation. -16 + 16 + -20m = 44 + 16 Combine like terms: -16 + 16 = 0 0 + -20m = 44 + 16 -20m = 44 + 16 Combine like terms: 44 + 16 = 60 -20m = 60 Divide each side by '-20'. m = -3 Simplifying m = -3
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