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Simplifying 1.5 + -0.25(a + 4) = 3 + 3(0.05 + -0.5a) Reorder the terms: 1.5 + -0.25(4 + a) = 3 + 3(0.05 + -0.5a) 1.5 + (4 * -0.25 + a * -0.25) = 3 + 3(0.05 + -0.5a) 1.5 + (-1 + -0.25a) = 3 + 3(0.05 + -0.5a) Combine like terms: 1.5 + -1 = 0.5 0.5 + -0.25a = 3 + 3(0.05 + -0.5a) 0.5 + -0.25a = 3 + (0.05 * 3 + -0.5a * 3) 0.5 + -0.25a = 3 + (0.15 + -1.5a) Combine like terms: 3 + 0.15 = 3.15 0.5 + -0.25a = 3.15 + -1.5a Solving 0.5 + -0.25a = 3.15 + -1.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.5a' to each side of the equation. 0.5 + -0.25a + 1.5a = 3.15 + -1.5a + 1.5a Combine like terms: -0.25a + 1.5a = 1.25a 0.5 + 1.25a = 3.15 + -1.5a + 1.5a Combine like terms: -1.5a + 1.5a = 0.0 0.5 + 1.25a = 3.15 + 0.0 0.5 + 1.25a = 3.15 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1.25a = 3.15 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.25a = 3.15 + -0.5 1.25a = 3.15 + -0.5 Combine like terms: 3.15 + -0.5 = 2.65 1.25a = 2.65 Divide each side by '1.25'. a = 2.12 Simplifying a = 2.12
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