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Simplifying 4(5a + 2) = 12(a + -1) Reorder the terms: 4(2 + 5a) = 12(a + -1) (2 * 4 + 5a * 4) = 12(a + -1) (8 + 20a) = 12(a + -1) Reorder the terms: 8 + 20a = 12(-1 + a) 8 + 20a = (-1 * 12 + a * 12) 8 + 20a = (-12 + 12a) Solving 8 + 20a = -12 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 8 + 20a + -12a = -12 + 12a + -12a Combine like terms: 20a + -12a = 8a 8 + 8a = -12 + 12a + -12a Combine like terms: 12a + -12a = 0 8 + 8a = -12 + 0 8 + 8a = -12 Add '-8' to each side of the equation. 8 + -8 + 8a = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 8a = -12 + -8 8a = -12 + -8 Combine like terms: -12 + -8 = -20 8a = -20 Divide each side by '8'. a = -2.5 Simplifying a = -2.5
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