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Simplifying 8(3m + 6) + -7(4m + -9) = -1 Reorder the terms: 8(6 + 3m) + -7(4m + -9) = -1 (6 * 8 + 3m * 8) + -7(4m + -9) = -1 (48 + 24m) + -7(4m + -9) = -1 Reorder the terms: 48 + 24m + -7(-9 + 4m) = -1 48 + 24m + (-9 * -7 + 4m * -7) = -1 48 + 24m + (63 + -28m) = -1 Reorder the terms: 48 + 63 + 24m + -28m = -1 Combine like terms: 48 + 63 = 111 111 + 24m + -28m = -1 Combine like terms: 24m + -28m = -4m 111 + -4m = -1 Solving 111 + -4m = -1 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-111' to each side of the equation. 111 + -111 + -4m = -1 + -111 Combine like terms: 111 + -111 = 0 0 + -4m = -1 + -111 -4m = -1 + -111 Combine like terms: -1 + -111 = -112 -4m = -112 Divide each side by '-4'. m = 28 Simplifying m = 28
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