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Simplifying -4(m + 6) + 2 = 3(m + 2) Reorder the terms: -4(6 + m) + 2 = 3(m + 2) (6 * -4 + m * -4) + 2 = 3(m + 2) (-24 + -4m) + 2 = 3(m + 2) Reorder the terms: -24 + 2 + -4m = 3(m + 2) Combine like terms: -24 + 2 = -22 -22 + -4m = 3(m + 2) Reorder the terms: -22 + -4m = 3(2 + m) -22 + -4m = (2 * 3 + m * 3) -22 + -4m = (6 + 3m) Solving -22 + -4m = 6 + 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. -22 + -4m + -3m = 6 + 3m + -3m Combine like terms: -4m + -3m = -7m -22 + -7m = 6 + 3m + -3m Combine like terms: 3m + -3m = 0 -22 + -7m = 6 + 0 -22 + -7m = 6 Add '22' to each side of the equation. -22 + 22 + -7m = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -7m = 6 + 22 -7m = 6 + 22 Combine like terms: 6 + 22 = 28 -7m = 28 Divide each side by '-7'. m = -4 Simplifying m = -4
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