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Simplifying 1.5 + -0.25(a + 4) = 3 + a Reorder the terms: 1.5 + -0.25(4 + a) = 3 + a 1.5 + (4 * -0.25 + a * -0.25) = 3 + a 1.5 + (-1 + -0.25a) = 3 + a Combine like terms: 1.5 + -1 = 0.5 0.5 + -0.25a = 3 + a Solving 0.5 + -0.25a = 3 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 0.5 + -0.25a + -1a = 3 + a + -1a Combine like terms: -0.25a + -1a = -1.25a 0.5 + -1.25a = 3 + a + -1a Combine like terms: a + -1a = 0 0.5 + -1.25a = 3 + 0 0.5 + -1.25a = 3 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1.25a = 3 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1.25a = 3 + -0.5 -1.25a = 3 + -0.5 Combine like terms: 3 + -0.5 = 2.5 -1.25a = 2.5 Divide each side by '-1.25'. a = -2 Simplifying a = -2
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