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Simplifying 8(3m + -16) = -2(-8m + -7) + 10 Reorder the terms: 8(-16 + 3m) = -2(-8m + -7) + 10 (-16 * 8 + 3m * 8) = -2(-8m + -7) + 10 (-128 + 24m) = -2(-8m + -7) + 10 Reorder the terms: -128 + 24m = -2(-7 + -8m) + 10 -128 + 24m = (-7 * -2 + -8m * -2) + 10 -128 + 24m = (14 + 16m) + 10 Reorder the terms: -128 + 24m = 14 + 10 + 16m Combine like terms: 14 + 10 = 24 -128 + 24m = 24 + 16m Solving -128 + 24m = 24 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. -128 + 24m + -16m = 24 + 16m + -16m Combine like terms: 24m + -16m = 8m -128 + 8m = 24 + 16m + -16m Combine like terms: 16m + -16m = 0 -128 + 8m = 24 + 0 -128 + 8m = 24 Add '128' to each side of the equation. -128 + 128 + 8m = 24 + 128 Combine like terms: -128 + 128 = 0 0 + 8m = 24 + 128 8m = 24 + 128 Combine like terms: 24 + 128 = 152 8m = 152 Divide each side by '8'. m = 19 Simplifying m = 19
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