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Simplifying 24 = 0.5(a + 7) * 4 Reorder the terms: 24 = 0.5(7 + a) * 4 Reorder the terms for easier multiplication: 24 = 0.5 * 4(7 + a) Multiply 0.5 * 4 24 = 2(7 + a) 24 = (7 * 2 + a * 2) 24 = (14 + 2a) Solving 24 = 14 + 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. 24 + -2a = 14 + 2a + -2a Combine like terms: 2a + -2a = 0 24 + -2a = 14 + 0 24 + -2a = 14 Add '-24' to each side of the equation. 24 + -24 + -2a = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -2a = 14 + -24 -2a = 14 + -24 Combine like terms: 14 + -24 = -10 -2a = -10 Divide each side by '-2'. a = 5 Simplifying a = 5
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