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Simplifying 8(5a + -4) = 12(9a + 12) Reorder the terms: 8(-4 + 5a) = 12(9a + 12) (-4 * 8 + 5a * 8) = 12(9a + 12) (-32 + 40a) = 12(9a + 12) Reorder the terms: -32 + 40a = 12(12 + 9a) -32 + 40a = (12 * 12 + 9a * 12) -32 + 40a = (144 + 108a) Solving -32 + 40a = 144 + 108a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-108a' to each side of the equation. -32 + 40a + -108a = 144 + 108a + -108a Combine like terms: 40a + -108a = -68a -32 + -68a = 144 + 108a + -108a Combine like terms: 108a + -108a = 0 -32 + -68a = 144 + 0 -32 + -68a = 144 Add '32' to each side of the equation. -32 + 32 + -68a = 144 + 32 Combine like terms: -32 + 32 = 0 0 + -68a = 144 + 32 -68a = 144 + 32 Combine like terms: 144 + 32 = 176 -68a = 176 Divide each side by '-68'. a = -2.588235294 Simplifying a = -2.588235294
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