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Simplifying 4(a + 2) = 14 + -1(3 + -2a) Reorder the terms: 4(2 + a) = 14 + -1(3 + -2a) (2 * 4 + a * 4) = 14 + -1(3 + -2a) (8 + 4a) = 14 + -1(3 + -2a) 8 + 4a = 14 + (3 * -1 + -2a * -1) 8 + 4a = 14 + (-3 + 2a) Combine like terms: 14 + -3 = 11 8 + 4a = 11 + 2a Solving 8 + 4a = 11 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 8 + 4a + -2a = 11 + 2a + -2a Combine like terms: 4a + -2a = 2a 8 + 2a = 11 + 2a + -2a Combine like terms: 2a + -2a = 0 8 + 2a = 11 + 0 8 + 2a = 11 Add '-8' to each side of the equation. 8 + -8 + 2a = 11 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 11 + -8 2a = 11 + -8 Combine like terms: 11 + -8 = 3 2a = 3 Divide each side by '2'. a = 1.5 Simplifying a = 1.5
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