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Simplifying 4(3 + 2m) + -6(-8x + -3) = 0 (3 * 4 + 2m * 4) + -6(-8x + -3) = 0 (12 + 8m) + -6(-8x + -3) = 0 Reorder the terms: 12 + 8m + -6(-3 + -8x) = 0 12 + 8m + (-3 * -6 + -8x * -6) = 0 12 + 8m + (18 + 48x) = 0 Reorder the terms: 12 + 18 + 8m + 48x = 0 Combine like terms: 12 + 18 = 30 30 + 8m + 48x = 0 Solving 30 + 8m + 48x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 8m + -30 + 48x = 0 + -30 Reorder the terms: 30 + -30 + 8m + 48x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 8m + 48x = 0 + -30 8m + 48x = 0 + -30 Combine like terms: 0 + -30 = -30 8m + 48x = -30 Add '-48x' to each side of the equation. 8m + 48x + -48x = -30 + -48x Combine like terms: 48x + -48x = 0 8m + 0 = -30 + -48x 8m = -30 + -48x Divide each side by '8'. m = -3.75 + -6x Simplifying m = -3.75 + -6x
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