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Simplifying 8(4a + -2) = 12(3a + 8) Reorder the terms: 8(-2 + 4a) = 12(3a + 8) (-2 * 8 + 4a * 8) = 12(3a + 8) (-16 + 32a) = 12(3a + 8) Reorder the terms: -16 + 32a = 12(8 + 3a) -16 + 32a = (8 * 12 + 3a * 12) -16 + 32a = (96 + 36a) Solving -16 + 32a = 96 + 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. -16 + 32a + -36a = 96 + 36a + -36a Combine like terms: 32a + -36a = -4a -16 + -4a = 96 + 36a + -36a Combine like terms: 36a + -36a = 0 -16 + -4a = 96 + 0 -16 + -4a = 96 Add '16' to each side of the equation. -16 + 16 + -4a = 96 + 16 Combine like terms: -16 + 16 = 0 0 + -4a = 96 + 16 -4a = 96 + 16 Combine like terms: 96 + 16 = 112 -4a = 112 Divide each side by '-4'. a = -28 Simplifying a = -28
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