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Simplifying 23 + 11 = 4(2m + 1) + -15m + -40 Combine like terms: 23 + 11 = 34 34 = 4(2m + 1) + -15m + -40 Reorder the terms: 34 = 4(1 + 2m) + -15m + -40 34 = (1 * 4 + 2m * 4) + -15m + -40 34 = (4 + 8m) + -15m + -40 Reorder the terms: 34 = 4 + -40 + 8m + -15m Combine like terms: 4 + -40 = -36 34 = -36 + 8m + -15m Combine like terms: 8m + -15m = -7m 34 = -36 + -7m Solving 34 = -36 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 34 + 7m = -36 + -7m + 7m Combine like terms: -7m + 7m = 0 34 + 7m = -36 + 0 34 + 7m = -36 Add '-34' to each side of the equation. 34 + -34 + 7m = -36 + -34 Combine like terms: 34 + -34 = 0 0 + 7m = -36 + -34 7m = -36 + -34 Combine like terms: -36 + -34 = -70 7m = -70 Divide each side by '7'. m = -10 Simplifying m = -10
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