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Simplifying 600 = ((a * 1) * 8) + ((a * 1.5) * 4) Reorder the terms for easier multiplication: 600 = ((1a) * 8) + ((a * 1.5) * 4) Remove parenthesis around (1a) 600 = (1a * 8) + ((a * 1.5) * 4) Reorder the terms for easier multiplication: 600 = (1 * 8a) + ((a * 1.5) * 4) Multiply 1 * 8 600 = (8a) + ((a * 1.5) * 4) Reorder the terms for easier multiplication: 600 = (8a) + ((1.5a) * 4) Remove parenthesis around (1.5a) 600 = (8a) + (1.5a * 4) Reorder the terms for easier multiplication: 600 = (8a) + (1.5 * 4a) Multiply 1.5 * 4 600 = (8a) + (6a) Combine like terms: (8a) + (6a) = 14a 600 = 14a Solving 600 = 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 600 + -14a = 14a + -14a Combine like terms: 14a + -14a = 0 600 + -14a = 0 Add '-600' to each side of the equation. 600 + -600 + -14a = 0 + -600 Combine like terms: 600 + -600 = 0 0 + -14a = 0 + -600 -14a = 0 + -600 Combine like terms: 0 + -600 = -600 -14a = -600 Divide each side by '-14'. a = 42.85714286 Simplifying a = 42.85714286
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