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Simplifying 33 + 34(6 + -1m) = -21 + (7 + -1m) * 4 33 + (6 * 34 + -1m * 34) = -21 + (7 + -1m) * 4 33 + (204 + -34m) = -21 + (7 + -1m) * 4 Combine like terms: 33 + 204 = 237 237 + -34m = -21 + (7 + -1m) * 4 Reorder the terms for easier multiplication: 237 + -34m = -21 + 4(7 + -1m) 237 + -34m = -21 + (7 * 4 + -1m * 4) 237 + -34m = -21 + (28 + -4m) Combine like terms: -21 + 28 = 7 237 + -34m = 7 + -4m Solving 237 + -34m = 7 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 237 + -34m + 4m = 7 + -4m + 4m Combine like terms: -34m + 4m = -30m 237 + -30m = 7 + -4m + 4m Combine like terms: -4m + 4m = 0 237 + -30m = 7 + 0 237 + -30m = 7 Add '-237' to each side of the equation. 237 + -237 + -30m = 7 + -237 Combine like terms: 237 + -237 = 0 0 + -30m = 7 + -237 -30m = 7 + -237 Combine like terms: 7 + -237 = -230 -30m = -230 Divide each side by '-30'. m = 7.666666667 Simplifying m = 7.666666667
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