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Simplifying 6m + 3(m + -1) * 3 + 7 = 4(2m + 1) + -27 Reorder the terms: 6m + 3(-1 + m) * 3 + 7 = 4(2m + 1) + -27 Reorder the terms for easier multiplication: 6m + 3 * 3(-1 + m) + 7 = 4(2m + 1) + -27 Multiply 3 * 3 6m + 9(-1 + m) + 7 = 4(2m + 1) + -27 6m + (-1 * 9 + m * 9) + 7 = 4(2m + 1) + -27 6m + (-9 + 9m) + 7 = 4(2m + 1) + -27 Reorder the terms: -9 + 7 + 6m + 9m = 4(2m + 1) + -27 Combine like terms: -9 + 7 = -2 -2 + 6m + 9m = 4(2m + 1) + -27 Combine like terms: 6m + 9m = 15m -2 + 15m = 4(2m + 1) + -27 Reorder the terms: -2 + 15m = 4(1 + 2m) + -27 -2 + 15m = (1 * 4 + 2m * 4) + -27 -2 + 15m = (4 + 8m) + -27 Reorder the terms: -2 + 15m = 4 + -27 + 8m Combine like terms: 4 + -27 = -23 -2 + 15m = -23 + 8m Solving -2 + 15m = -23 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -2 + 15m + -8m = -23 + 8m + -8m Combine like terms: 15m + -8m = 7m -2 + 7m = -23 + 8m + -8m Combine like terms: 8m + -8m = 0 -2 + 7m = -23 + 0 -2 + 7m = -23 Add '2' to each side of the equation. -2 + 2 + 7m = -23 + 2 Combine like terms: -2 + 2 = 0 0 + 7m = -23 + 2 7m = -23 + 2 Combine like terms: -23 + 2 = -21 7m = -21 Divide each side by '7'. m = -3 Simplifying m = -3
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