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Simplifying 5 + -1(a + 2) = 3(a + 4) Reorder the terms: 5 + -1(2 + a) = 3(a + 4) 5 + (2 * -1 + a * -1) = 3(a + 4) 5 + (-2 + -1a) = 3(a + 4) Combine like terms: 5 + -2 = 3 3 + -1a = 3(a + 4) Reorder the terms: 3 + -1a = 3(4 + a) 3 + -1a = (4 * 3 + a * 3) 3 + -1a = (12 + 3a) Solving 3 + -1a = 12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 3 + -1a + -3a = 12 + 3a + -3a Combine like terms: -1a + -3a = -4a 3 + -4a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 3 + -4a = 12 + 0 3 + -4a = 12 Add '-3' to each side of the equation. 3 + -3 + -4a = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -4a = 12 + -3 -4a = 12 + -3 Combine like terms: 12 + -3 = 9 -4a = 9 Divide each side by '-4'. a = -2.25 Simplifying a = -2.25
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