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Simplifying 8(m + -1) + -17(3 + -1m) = 2(m + -13) + 3(2m + 1) Reorder the terms: 8(-1 + m) + -17(3 + -1m) = 2(m + -13) + 3(2m + 1) (-1 * 8 + m * 8) + -17(3 + -1m) = 2(m + -13) + 3(2m + 1) (-8 + 8m) + -17(3 + -1m) = 2(m + -13) + 3(2m + 1) -8 + 8m + (3 * -17 + -1m * -17) = 2(m + -13) + 3(2m + 1) -8 + 8m + (-51 + 17m) = 2(m + -13) + 3(2m + 1) Reorder the terms: -8 + -51 + 8m + 17m = 2(m + -13) + 3(2m + 1) Combine like terms: -8 + -51 = -59 -59 + 8m + 17m = 2(m + -13) + 3(2m + 1) Combine like terms: 8m + 17m = 25m -59 + 25m = 2(m + -13) + 3(2m + 1) Reorder the terms: -59 + 25m = 2(-13 + m) + 3(2m + 1) -59 + 25m = (-13 * 2 + m * 2) + 3(2m + 1) -59 + 25m = (-26 + 2m) + 3(2m + 1) Reorder the terms: -59 + 25m = -26 + 2m + 3(1 + 2m) -59 + 25m = -26 + 2m + (1 * 3 + 2m * 3) -59 + 25m = -26 + 2m + (3 + 6m) Reorder the terms: -59 + 25m = -26 + 3 + 2m + 6m Combine like terms: -26 + 3 = -23 -59 + 25m = -23 + 2m + 6m Combine like terms: 2m + 6m = 8m -59 + 25m = -23 + 8m Solving -59 + 25m = -23 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -59 + 25m + -8m = -23 + 8m + -8m Combine like terms: 25m + -8m = 17m -59 + 17m = -23 + 8m + -8m Combine like terms: 8m + -8m = 0 -59 + 17m = -23 + 0 -59 + 17m = -23 Add '59' to each side of the equation. -59 + 59 + 17m = -23 + 59 Combine like terms: -59 + 59 = 0 0 + 17m = -23 + 59 17m = -23 + 59 Combine like terms: -23 + 59 = 36 17m = 36 Divide each side by '17'. m = 2.117647059 Simplifying m = 2.117647059
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