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Simplifying 4(x + -2) + -2(m + 1) = 2 Reorder the terms: 4(-2 + x) + -2(m + 1) = 2 (-2 * 4 + x * 4) + -2(m + 1) = 2 (-8 + 4x) + -2(m + 1) = 2 Reorder the terms: -8 + 4x + -2(1 + m) = 2 -8 + 4x + (1 * -2 + m * -2) = 2 -8 + 4x + (-2 + -2m) = 2 Reorder the terms: -8 + -2 + -2m + 4x = 2 Combine like terms: -8 + -2 = -10 -10 + -2m + 4x = 2 Solving -10 + -2m + 4x = 2 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -2m + 10 + 4x = 2 + 10 Reorder the terms: -10 + 10 + -2m + 4x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -2m + 4x = 2 + 10 -2m + 4x = 2 + 10 Combine like terms: 2 + 10 = 12 -2m + 4x = 12 Add '-4x' to each side of the equation. -2m + 4x + -4x = 12 + -4x Combine like terms: 4x + -4x = 0 -2m + 0 = 12 + -4x -2m = 12 + -4x Divide each side by '-2'. m = -6 + 2x Simplifying m = -6 + 2x
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