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Simplifying -1(8m + 4) = 4m + -2(6m + 2a + -4) Reorder the terms: -1(4 + 8m) = 4m + -2(6m + 2a + -4) (4 * -1 + 8m * -1) = 4m + -2(6m + 2a + -4) (-4 + -8m) = 4m + -2(6m + 2a + -4) Reorder the terms: -4 + -8m = 4m + -2(-4 + 2a + 6m) -4 + -8m = 4m + (-4 * -2 + 2a * -2 + 6m * -2) -4 + -8m = 4m + (8 + -4a + -12m) Reorder the terms: -4 + -8m = 8 + -4a + 4m + -12m Combine like terms: 4m + -12m = -8m -4 + -8m = 8 + -4a + -8m Add '8m' to each side of the equation. -4 + -8m + 8m = 8 + -4a + -8m + 8m Combine like terms: -8m + 8m = 0 -4 + 0 = 8 + -4a + -8m + 8m -4 = 8 + -4a + -8m + 8m Combine like terms: -8m + 8m = 0 -4 = 8 + -4a + 0 -4 = 8 + -4a Solving -4 = 8 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -4 + 4a = 8 + -4a + 4a Combine like terms: -4a + 4a = 0 -4 + 4a = 8 + 0 -4 + 4a = 8 Add '4' to each side of the equation. -4 + 4 + 4a = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4a = 8 + 4 4a = 8 + 4 Combine like terms: 8 + 4 = 12 4a = 12 Divide each side by '4'. a = 3 Simplifying a = 3
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