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Simplifying 6(m + 2) + 4 = -1(-7m + 3) Reorder the terms: 6(2 + m) + 4 = -1(-7m + 3) (2 * 6 + m * 6) + 4 = -1(-7m + 3) (12 + 6m) + 4 = -1(-7m + 3) Reorder the terms: 12 + 4 + 6m = -1(-7m + 3) Combine like terms: 12 + 4 = 16 16 + 6m = -1(-7m + 3) Reorder the terms: 16 + 6m = -1(3 + -7m) 16 + 6m = (3 * -1 + -7m * -1) 16 + 6m = (-3 + 7m) Solving 16 + 6m = -3 + 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. 16 + 6m + -7m = -3 + 7m + -7m Combine like terms: 6m + -7m = -1m 16 + -1m = -3 + 7m + -7m Combine like terms: 7m + -7m = 0 16 + -1m = -3 + 0 16 + -1m = -3 Add '-16' to each side of the equation. 16 + -16 + -1m = -3 + -16 Combine like terms: 16 + -16 = 0 0 + -1m = -3 + -16 -1m = -3 + -16 Combine like terms: -3 + -16 = -19 -1m = -19 Divide each side by '-1'. m = 19 Simplifying m = 19
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