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Simplifying 4(x + 4m + 2) = 0 Reorder the terms: 4(2 + 4m + x) = 0 (2 * 4 + 4m * 4 + x * 4) = 0 (8 + 16m + 4x) = 0 Solving 8 + 16m + 4x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 16m + -8 + 4x = 0 + -8 Reorder the terms: 8 + -8 + 16m + 4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 16m + 4x = 0 + -8 16m + 4x = 0 + -8 Combine like terms: 0 + -8 = -8 16m + 4x = -8 Add '-4x' to each side of the equation. 16m + 4x + -4x = -8 + -4x Combine like terms: 4x + -4x = 0 16m + 0 = -8 + -4x 16m = -8 + -4x Divide each side by '16'. m = -0.5 + -0.25x Simplifying m = -0.5 + -0.25x
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