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Simplifying -8(m + 6) + -2(9 + -8m) = 7(m + -8) + -5 Reorder the terms: -8(6 + m) + -2(9 + -8m) = 7(m + -8) + -5 (6 * -8 + m * -8) + -2(9 + -8m) = 7(m + -8) + -5 (-48 + -8m) + -2(9 + -8m) = 7(m + -8) + -5 -48 + -8m + (9 * -2 + -8m * -2) = 7(m + -8) + -5 -48 + -8m + (-18 + 16m) = 7(m + -8) + -5 Reorder the terms: -48 + -18 + -8m + 16m = 7(m + -8) + -5 Combine like terms: -48 + -18 = -66 -66 + -8m + 16m = 7(m + -8) + -5 Combine like terms: -8m + 16m = 8m -66 + 8m = 7(m + -8) + -5 Reorder the terms: -66 + 8m = 7(-8 + m) + -5 -66 + 8m = (-8 * 7 + m * 7) + -5 -66 + 8m = (-56 + 7m) + -5 Reorder the terms: -66 + 8m = -56 + -5 + 7m Combine like terms: -56 + -5 = -61 -66 + 8m = -61 + 7m Solving -66 + 8m = -61 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -66 + 8m + -7m = -61 + 7m + -7m Combine like terms: 8m + -7m = 1m -66 + 1m = -61 + 7m + -7m Combine like terms: 7m + -7m = 0 -66 + 1m = -61 + 0 -66 + 1m = -61 Add '66' to each side of the equation. -66 + 66 + 1m = -61 + 66 Combine like terms: -66 + 66 = 0 0 + 1m = -61 + 66 1m = -61 + 66 Combine like terms: -61 + 66 = 5 1m = 5 Divide each side by '1'. m = 5 Simplifying m = 5
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