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Simplifying -2(m + -8) + -3(7m + -6) = -24(m + -1) + 6 Reorder the terms: -2(-8 + m) + -3(7m + -6) = -24(m + -1) + 6 (-8 * -2 + m * -2) + -3(7m + -6) = -24(m + -1) + 6 (16 + -2m) + -3(7m + -6) = -24(m + -1) + 6 Reorder the terms: 16 + -2m + -3(-6 + 7m) = -24(m + -1) + 6 16 + -2m + (-6 * -3 + 7m * -3) = -24(m + -1) + 6 16 + -2m + (18 + -21m) = -24(m + -1) + 6 Reorder the terms: 16 + 18 + -2m + -21m = -24(m + -1) + 6 Combine like terms: 16 + 18 = 34 34 + -2m + -21m = -24(m + -1) + 6 Combine like terms: -2m + -21m = -23m 34 + -23m = -24(m + -1) + 6 Reorder the terms: 34 + -23m = -24(-1 + m) + 6 34 + -23m = (-1 * -24 + m * -24) + 6 34 + -23m = (24 + -24m) + 6 Reorder the terms: 34 + -23m = 24 + 6 + -24m Combine like terms: 24 + 6 = 30 34 + -23m = 30 + -24m Solving 34 + -23m = 30 + -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. 34 + -23m + 24m = 30 + -24m + 24m Combine like terms: -23m + 24m = 1m 34 + 1m = 30 + -24m + 24m Combine like terms: -24m + 24m = 0 34 + 1m = 30 + 0 34 + 1m = 30 Add '-34' to each side of the equation. 34 + -34 + 1m = 30 + -34 Combine like terms: 34 + -34 = 0 0 + 1m = 30 + -34 1m = 30 + -34 Combine like terms: 30 + -34 = -4 1m = -4 Divide each side by '1'. m = -4 Simplifying m = -4
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