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Simplifying -7(m + -4) + 2 = 16 + -1(m + -2) Reorder the terms: -7(-4 + m) + 2 = 16 + -1(m + -2) (-4 * -7 + m * -7) + 2 = 16 + -1(m + -2) (28 + -7m) + 2 = 16 + -1(m + -2) Reorder the terms: 28 + 2 + -7m = 16 + -1(m + -2) Combine like terms: 28 + 2 = 30 30 + -7m = 16 + -1(m + -2) Reorder the terms: 30 + -7m = 16 + -1(-2 + m) 30 + -7m = 16 + (-2 * -1 + m * -1) 30 + -7m = 16 + (2 + -1m) Combine like terms: 16 + 2 = 18 30 + -7m = 18 + -1m Solving 30 + -7m = 18 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 30 + -7m + m = 18 + -1m + m Combine like terms: -7m + m = -6m 30 + -6m = 18 + -1m + m Combine like terms: -1m + m = 0 30 + -6m = 18 + 0 30 + -6m = 18 Add '-30' to each side of the equation. 30 + -30 + -6m = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -6m = 18 + -30 -6m = 18 + -30 Combine like terms: 18 + -30 = -12 -6m = -12 Divide each side by '-6'. m = 2 Simplifying m = 2
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