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Simplifying -2(5m + -3) + -6m = 3(m + -4) + 5 Reorder the terms: -2(-3 + 5m) + -6m = 3(m + -4) + 5 (-3 * -2 + 5m * -2) + -6m = 3(m + -4) + 5 (6 + -10m) + -6m = 3(m + -4) + 5 Combine like terms: -10m + -6m = -16m 6 + -16m = 3(m + -4) + 5 Reorder the terms: 6 + -16m = 3(-4 + m) + 5 6 + -16m = (-4 * 3 + m * 3) + 5 6 + -16m = (-12 + 3m) + 5 Reorder the terms: 6 + -16m = -12 + 5 + 3m Combine like terms: -12 + 5 = -7 6 + -16m = -7 + 3m Solving 6 + -16m = -7 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 6 + -16m + -3m = -7 + 3m + -3m Combine like terms: -16m + -3m = -19m 6 + -19m = -7 + 3m + -3m Combine like terms: 3m + -3m = 0 6 + -19m = -7 + 0 6 + -19m = -7 Add '-6' to each side of the equation. 6 + -6 + -19m = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -19m = -7 + -6 -19m = -7 + -6 Combine like terms: -7 + -6 = -13 -19m = -13 Divide each side by '-19'. m = 0.6842105263 Simplifying m = 0.6842105263
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