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Simplifying 4(a + 2) = 14 + -3(3 + -2a) Reorder the terms: 4(2 + a) = 14 + -3(3 + -2a) (2 * 4 + a * 4) = 14 + -3(3 + -2a) (8 + 4a) = 14 + -3(3 + -2a) 8 + 4a = 14 + (3 * -3 + -2a * -3) 8 + 4a = 14 + (-9 + 6a) Combine like terms: 14 + -9 = 5 8 + 4a = 5 + 6a Solving 8 + 4a = 5 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 8 + 4a + -6a = 5 + 6a + -6a Combine like terms: 4a + -6a = -2a 8 + -2a = 5 + 6a + -6a Combine like terms: 6a + -6a = 0 8 + -2a = 5 + 0 8 + -2a = 5 Add '-8' to each side of the equation. 8 + -8 + -2a = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -2a = 5 + -8 -2a = 5 + -8 Combine like terms: 5 + -8 = -3 -2a = -3 Divide each side by '-2'. a = 1.5 Simplifying a = 1.5
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