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Simplifying 8(-2m + -7) + 8(-5 + m) = 4m + -6m Reorder the terms: 8(-7 + -2m) + 8(-5 + m) = 4m + -6m (-7 * 8 + -2m * 8) + 8(-5 + m) = 4m + -6m (-56 + -16m) + 8(-5 + m) = 4m + -6m -56 + -16m + (-5 * 8 + m * 8) = 4m + -6m -56 + -16m + (-40 + 8m) = 4m + -6m Reorder the terms: -56 + -40 + -16m + 8m = 4m + -6m Combine like terms: -56 + -40 = -96 -96 + -16m + 8m = 4m + -6m Combine like terms: -16m + 8m = -8m -96 + -8m = 4m + -6m Combine like terms: 4m + -6m = -2m -96 + -8m = -2m Solving -96 + -8m = -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. -96 + -8m + 2m = -2m + 2m Combine like terms: -8m + 2m = -6m -96 + -6m = -2m + 2m Combine like terms: -2m + 2m = 0 -96 + -6m = 0 Add '96' to each side of the equation. -96 + 96 + -6m = 0 + 96 Combine like terms: -96 + 96 = 0 0 + -6m = 0 + 96 -6m = 0 + 96 Combine like terms: 0 + 96 = 96 -6m = 96 Divide each side by '-6'. m = -16 Simplifying m = -16
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