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Simplifying 0.20(10a + -15) = 3 + -2a Reorder the terms: 0.20(-15 + 10a) = 3 + -2a (-15 * 0.20 + 10a * 0.20) = 3 + -2a (-3 + 2a) = 3 + -2a Solving -3 + 2a = 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. -3 + 2a + 2a = 3 + -2a + 2a Combine like terms: 2a + 2a = 4a -3 + 4a = 3 + -2a + 2a Combine like terms: -2a + 2a = 0 -3 + 4a = 3 + 0 -3 + 4a = 3 Add '3' to each side of the equation. -3 + 3 + 4a = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 4a = 3 + 3 4a = 3 + 3 Combine like terms: 3 + 3 = 6 4a = 6 Divide each side by '4'. a = 1.5 Simplifying a = 1.5
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