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Simplifying -8(m + 1) + 6(8 + -4m) = -33(m + -1) + 2 Reorder the terms: -8(1 + m) + 6(8 + -4m) = -33(m + -1) + 2 (1 * -8 + m * -8) + 6(8 + -4m) = -33(m + -1) + 2 (-8 + -8m) + 6(8 + -4m) = -33(m + -1) + 2 -8 + -8m + (8 * 6 + -4m * 6) = -33(m + -1) + 2 -8 + -8m + (48 + -24m) = -33(m + -1) + 2 Reorder the terms: -8 + 48 + -8m + -24m = -33(m + -1) + 2 Combine like terms: -8 + 48 = 40 40 + -8m + -24m = -33(m + -1) + 2 Combine like terms: -8m + -24m = -32m 40 + -32m = -33(m + -1) + 2 Reorder the terms: 40 + -32m = -33(-1 + m) + 2 40 + -32m = (-1 * -33 + m * -33) + 2 40 + -32m = (33 + -33m) + 2 Reorder the terms: 40 + -32m = 33 + 2 + -33m Combine like terms: 33 + 2 = 35 40 + -32m = 35 + -33m Solving 40 + -32m = 35 + -33m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '33m' to each side of the equation. 40 + -32m + 33m = 35 + -33m + 33m Combine like terms: -32m + 33m = 1m 40 + 1m = 35 + -33m + 33m Combine like terms: -33m + 33m = 0 40 + 1m = 35 + 0 40 + 1m = 35 Add '-40' to each side of the equation. 40 + -40 + 1m = 35 + -40 Combine like terms: 40 + -40 = 0 0 + 1m = 35 + -40 1m = 35 + -40 Combine like terms: 35 + -40 = -5 1m = -5 Divide each side by '1'. m = -5 Simplifying m = -5
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