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Simplifying 8(m + -1) + -17(3 + -1m) = 4 + -12(3 + -2m) Reorder the terms: 8(-1 + m) + -17(3 + -1m) = 4 + -12(3 + -2m) (-1 * 8 + m * 8) + -17(3 + -1m) = 4 + -12(3 + -2m) (-8 + 8m) + -17(3 + -1m) = 4 + -12(3 + -2m) -8 + 8m + (3 * -17 + -1m * -17) = 4 + -12(3 + -2m) -8 + 8m + (-51 + 17m) = 4 + -12(3 + -2m) Reorder the terms: -8 + -51 + 8m + 17m = 4 + -12(3 + -2m) Combine like terms: -8 + -51 = -59 -59 + 8m + 17m = 4 + -12(3 + -2m) Combine like terms: 8m + 17m = 25m -59 + 25m = 4 + -12(3 + -2m) -59 + 25m = 4 + (3 * -12 + -2m * -12) -59 + 25m = 4 + (-36 + 24m) Combine like terms: 4 + -36 = -32 -59 + 25m = -32 + 24m Solving -59 + 25m = -32 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -59 + 25m + -24m = -32 + 24m + -24m Combine like terms: 25m + -24m = 1m -59 + 1m = -32 + 24m + -24m Combine like terms: 24m + -24m = 0 -59 + 1m = -32 + 0 -59 + 1m = -32 Add '59' to each side of the equation. -59 + 59 + 1m = -32 + 59 Combine like terms: -59 + 59 = 0 0 + 1m = -32 + 59 1m = -32 + 59 Combine like terms: -32 + 59 = 27 1m = 27 Divide each side by '1'. m = 27 Simplifying m = 27
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