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Simplifying 0.5(a + 15) = 3a + -1.25 Reorder the terms: 0.5(15 + a) = 3a + -1.25 (15 * 0.5 + a * 0.5) = 3a + -1.25 (7.5 + 0.5a) = 3a + -1.25 Reorder the terms: 7.5 + 0.5a = -1.25 + 3a Solving 7.5 + 0.5a = -1.25 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 7.5 + 0.5a + -3a = -1.25 + 3a + -3a Combine like terms: 0.5a + -3a = -2.5a 7.5 + -2.5a = -1.25 + 3a + -3a Combine like terms: 3a + -3a = 0 7.5 + -2.5a = -1.25 + 0 7.5 + -2.5a = -1.25 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -2.5a = -1.25 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -2.5a = -1.25 + -7.5 -2.5a = -1.25 + -7.5 Combine like terms: -1.25 + -7.5 = -8.75 -2.5a = -8.75 Divide each side by '-2.5'. a = 3.5 Simplifying a = 3.5
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