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Simplifying -60(1 + -35m) + 90(13m + 39) = -79m + 21 + 80 (1 * -60 + -35m * -60) + 90(13m + 39) = -79m + 21 + 80 (-60 + 2100m) + 90(13m + 39) = -79m + 21 + 80 Reorder the terms: -60 + 2100m + 90(39 + 13m) = -79m + 21 + 80 -60 + 2100m + (39 * 90 + 13m * 90) = -79m + 21 + 80 -60 + 2100m + (3510 + 1170m) = -79m + 21 + 80 Reorder the terms: -60 + 3510 + 2100m + 1170m = -79m + 21 + 80 Combine like terms: -60 + 3510 = 3450 3450 + 2100m + 1170m = -79m + 21 + 80 Combine like terms: 2100m + 1170m = 3270m 3450 + 3270m = -79m + 21 + 80 Reorder the terms: 3450 + 3270m = 21 + 80 + -79m Combine like terms: 21 + 80 = 101 3450 + 3270m = 101 + -79m Solving 3450 + 3270m = 101 + -79m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '79m' to each side of the equation. 3450 + 3270m + 79m = 101 + -79m + 79m Combine like terms: 3270m + 79m = 3349m 3450 + 3349m = 101 + -79m + 79m Combine like terms: -79m + 79m = 0 3450 + 3349m = 101 + 0 3450 + 3349m = 101 Add '-3450' to each side of the equation. 3450 + -3450 + 3349m = 101 + -3450 Combine like terms: 3450 + -3450 = 0 0 + 3349m = 101 + -3450 3349m = 101 + -3450 Combine like terms: 101 + -3450 = -3349 3349m = -3349 Divide each side by '3349'. m = -1 Simplifying m = -1
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