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Simplifying 2(a + 4) + -7 = 0.5(5 + 2a) Reorder the terms: 2(4 + a) + -7 = 0.5(5 + 2a) (4 * 2 + a * 2) + -7 = 0.5(5 + 2a) (8 + 2a) + -7 = 0.5(5 + 2a) Reorder the terms: 8 + -7 + 2a = 0.5(5 + 2a) Combine like terms: 8 + -7 = 1 1 + 2a = 0.5(5 + 2a) 1 + 2a = (5 * 0.5 + 2a * 0.5) 1 + 2a = (2.5 + 1a) Solving 1 + 2a = 2.5 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 1 + 2a + -1a = 2.5 + 1a + -1a Combine like terms: 2a + -1a = 1a 1 + 1a = 2.5 + 1a + -1a Combine like terms: 1a + -1a = 0 1 + 1a = 2.5 + 0 1 + 1a = 2.5 Add '-1' to each side of the equation. 1 + -1 + 1a = 2.5 + -1 Combine like terms: 1 + -1 = 0 0 + 1a = 2.5 + -1 1a = 2.5 + -1 Combine like terms: 2.5 + -1 = 1.5 1a = 1.5 Divide each side by '1'. a = 1.5 Simplifying a = 1.5
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