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Simplifying 1.5 + -0.25(a + 4) = 3 + 3(0.05 + -0.5) * a Reorder the terms: 1.5 + -0.25(4 + a) = 3 + 3(0.05 + -0.5) * a 1.5 + (4 * -0.25 + a * -0.25) = 3 + 3(0.05 + -0.5) * a 1.5 + (-1 + -0.25a) = 3 + 3(0.05 + -0.5) * a Combine like terms: 1.5 + -1 = 0.5 0.5 + -0.25a = 3 + 3(0.05 + -0.5) * a Combine like terms: 0.05 + -0.5 = -0.45 0.5 + -0.25a = 3 + 3(-0.45) * a Multiply 3 * -0.45 0.5 + -0.25a = 3 + -1.35a Solving 0.5 + -0.25a = 3 + -1.35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.35a' to each side of the equation. 0.5 + -0.25a + 1.35a = 3 + -1.35a + 1.35a Combine like terms: -0.25a + 1.35a = 1.1a 0.5 + 1.1a = 3 + -1.35a + 1.35a Combine like terms: -1.35a + 1.35a = 0.00 0.5 + 1.1a = 3 + 0.00 0.5 + 1.1a = 3 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1.1a = 3 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.1a = 3 + -0.5 1.1a = 3 + -0.5 Combine like terms: 3 + -0.5 = 2.5 1.1a = 2.5 Divide each side by '1.1'. a = 2.272727273 Simplifying a = 2.272727273
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