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Simplifying 3(m + -8) + -6(6 + -8m) = 44(m + -1 + 5) Reorder the terms: 3(-8 + m) + -6(6 + -8m) = 44(m + -1 + 5) (-8 * 3 + m * 3) + -6(6 + -8m) = 44(m + -1 + 5) (-24 + 3m) + -6(6 + -8m) = 44(m + -1 + 5) -24 + 3m + (6 * -6 + -8m * -6) = 44(m + -1 + 5) -24 + 3m + (-36 + 48m) = 44(m + -1 + 5) Reorder the terms: -24 + -36 + 3m + 48m = 44(m + -1 + 5) Combine like terms: -24 + -36 = -60 -60 + 3m + 48m = 44(m + -1 + 5) Combine like terms: 3m + 48m = 51m -60 + 51m = 44(m + -1 + 5) Reorder the terms: -60 + 51m = 44(-1 + 5 + m) Combine like terms: -1 + 5 = 4 -60 + 51m = 44(4 + m) -60 + 51m = (4 * 44 + m * 44) -60 + 51m = (176 + 44m) Solving -60 + 51m = 176 + 44m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-44m' to each side of the equation. -60 + 51m + -44m = 176 + 44m + -44m Combine like terms: 51m + -44m = 7m -60 + 7m = 176 + 44m + -44m Combine like terms: 44m + -44m = 0 -60 + 7m = 176 + 0 -60 + 7m = 176 Add '60' to each side of the equation. -60 + 60 + 7m = 176 + 60 Combine like terms: -60 + 60 = 0 0 + 7m = 176 + 60 7m = 176 + 60 Combine like terms: 176 + 60 = 236 7m = 236 Divide each side by '7'. m = 33.71428571 Simplifying m = 33.71428571
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