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Simplifying 64 = 0.5(a + 12) * 4 Reorder the terms: 64 = 0.5(12 + a) * 4 Reorder the terms for easier multiplication: 64 = 0.5 * 4(12 + a) Multiply 0.5 * 4 64 = 2(12 + a) 64 = (12 * 2 + a * 2) 64 = (24 + 2a) Solving 64 = 24 + 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. 64 + -2a = 24 + 2a + -2a Combine like terms: 2a + -2a = 0 64 + -2a = 24 + 0 64 + -2a = 24 Add '-64' to each side of the equation. 64 + -64 + -2a = 24 + -64 Combine like terms: 64 + -64 = 0 0 + -2a = 24 + -64 -2a = 24 + -64 Combine like terms: 24 + -64 = -40 -2a = -40 Divide each side by '-2'. a = 20 Simplifying a = 20
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