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Simplifying 3 + -1[5m + 2(m + -1) + 4] = 5 + -1[2(m + -3) + -3(m + -2)] Reorder the terms: 3 + -1[5m + 2(-1 + m) + 4] = 5 + -1[2(m + -3) + -3(m + -2)] 3 + -1[5m + (-1 * 2 + m * 2) + 4] = 5 + -1[2(m + -3) + -3(m + -2)] 3 + -1[5m + (-2 + 2m) + 4] = 5 + -1[2(m + -3) + -3(m + -2)] Reorder the terms: 3 + -1[-2 + 4 + 5m + 2m] = 5 + -1[2(m + -3) + -3(m + -2)] Combine like terms: -2 + 4 = 2 3 + -1[2 + 5m + 2m] = 5 + -1[2(m + -3) + -3(m + -2)] Combine like terms: 5m + 2m = 7m 3 + -1[2 + 7m] = 5 + -1[2(m + -3) + -3(m + -2)] 3 + [2 * -1 + 7m * -1] = 5 + -1[2(m + -3) + -3(m + -2)] 3 + [-2 + -7m] = 5 + -1[2(m + -3) + -3(m + -2)] Combine like terms: 3 + -2 = 1 1 + -7m = 5 + -1[2(m + -3) + -3(m + -2)] Reorder the terms: 1 + -7m = 5 + -1[2(-3 + m) + -3(m + -2)] 1 + -7m = 5 + -1[(-3 * 2 + m * 2) + -3(m + -2)] 1 + -7m = 5 + -1[(-6 + 2m) + -3(m + -2)] Reorder the terms: 1 + -7m = 5 + -1[-6 + 2m + -3(-2 + m)] 1 + -7m = 5 + -1[-6 + 2m + (-2 * -3 + m * -3)] 1 + -7m = 5 + -1[-6 + 2m + (6 + -3m)] Reorder the terms: 1 + -7m = 5 + -1[-6 + 6 + 2m + -3m] Combine like terms: -6 + 6 = 0 1 + -7m = 5 + -1[0 + 2m + -3m] 1 + -7m = 5 + -1[2m + -3m] Combine like terms: 2m + -3m = -1m 1 + -7m = 5 + -1[-1m] Remove brackets around [-1m] 1 + -7m = 5 + -1 * -1m Multiply -1 * -1 1 + -7m = 5 + 1m Solving 1 + -7m = 5 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 1 + -7m + -1m = 5 + 1m + -1m Combine like terms: -7m + -1m = -8m 1 + -8m = 5 + 1m + -1m Combine like terms: 1m + -1m = 0 1 + -8m = 5 + 0 1 + -8m = 5 Add '-1' to each side of the equation. 1 + -1 + -8m = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -8m = 5 + -1 -8m = 5 + -1 Combine like terms: 5 + -1 = 4 -8m = 4 Divide each side by '-8'. m = -0.5 Simplifying m = -0.5
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