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Simplifying 4(a + 2) = 14 + -2(2x + -1) Reorder the terms: 4(2 + a) = 14 + -2(2x + -1) (2 * 4 + a * 4) = 14 + -2(2x + -1) (8 + 4a) = 14 + -2(2x + -1) Reorder the terms: 8 + 4a = 14 + -2(-1 + 2x) 8 + 4a = 14 + (-1 * -2 + 2x * -2) 8 + 4a = 14 + (2 + -4x) Combine like terms: 14 + 2 = 16 8 + 4a = 16 + -4x Solving 8 + 4a = 16 + -4x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4a = 16 + -8 + -4x Combine like terms: 8 + -8 = 0 0 + 4a = 16 + -8 + -4x 4a = 16 + -8 + -4x Combine like terms: 16 + -8 = 8 4a = 8 + -4x Divide each side by '4'. a = 2 + -1x Simplifying a = 2 + -1x
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