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Simplifying -0.05(4a + -1) = 0.5(3 + -3a) Reorder the terms: -0.05(-1 + 4a) = 0.5(3 + -3a) (-1 * -0.05 + 4a * -0.05) = 0.5(3 + -3a) (0.05 + -0.2a) = 0.5(3 + -3a) 0.05 + -0.2a = (3 * 0.5 + -3a * 0.5) 0.05 + -0.2a = (1.5 + -1.5a) Solving 0.05 + -0.2a = 1.5 + -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. 0.05 + -0.2a + 1.5a = 1.5 + -1.5a + 1.5a Combine like terms: -0.2a + 1.5a = 1.3a 0.05 + 1.3a = 1.5 + -1.5a + 1.5a Combine like terms: -1.5a + 1.5a = 0.0 0.05 + 1.3a = 1.5 + 0.0 0.05 + 1.3a = 1.5 Add '-0.05' to each side of the equation. 0.05 + -0.05 + 1.3a = 1.5 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + 1.3a = 1.5 + -0.05 1.3a = 1.5 + -0.05 Combine like terms: 1.5 + -0.05 = 1.45 1.3a = 1.45 Divide each side by '1.3'. a = 1.115384615 Simplifying a = 1.115384615
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