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Simplifying 0.5(10a + -15) = 3 + -2a Reorder the terms: 0.5(-15 + 10a) = 3 + -2a (-15 * 0.5 + 10a * 0.5) = 3 + -2a (-7.5 + 5a) = 3 + -2a Solving -7.5 + 5a = 3 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -7.5 + 5a + 2a = 3 + -2a + 2a Combine like terms: 5a + 2a = 7a -7.5 + 7a = 3 + -2a + 2a Combine like terms: -2a + 2a = 0 -7.5 + 7a = 3 + 0 -7.5 + 7a = 3 Add '7.5' to each side of the equation. -7.5 + 7.5 + 7a = 3 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 7a = 3 + 7.5 7a = 3 + 7.5 Combine like terms: 3 + 7.5 = 10.5 7a = 10.5 Divide each side by '7'. a = 1.5 Simplifying a = 1.5
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