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Simplifying 5(10a + -15) = 3 + -2a Reorder the terms: 5(-15 + 10a) = 3 + -2a (-15 * 5 + 10a * 5) = 3 + -2a (-75 + 50a) = 3 + -2a Solving -75 + 50a = 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. -75 + 50a + 2a = 3 + -2a + 2a Combine like terms: 50a + 2a = 52a -75 + 52a = 3 + -2a + 2a Combine like terms: -2a + 2a = 0 -75 + 52a = 3 + 0 -75 + 52a = 3 Add '75' to each side of the equation. -75 + 75 + 52a = 3 + 75 Combine like terms: -75 + 75 = 0 0 + 52a = 3 + 75 52a = 3 + 75 Combine like terms: 3 + 75 = 78 52a = 78 Divide each side by '52'. a = 1.5 Simplifying a = 1.5
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