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Simplifying 5(2a + -3) + -2(a + 1) = 0 Reorder the terms: 5(-3 + 2a) + -2(a + 1) = 0 (-3 * 5 + 2a * 5) + -2(a + 1) = 0 (-15 + 10a) + -2(a + 1) = 0 Reorder the terms: -15 + 10a + -2(1 + a) = 0 -15 + 10a + (1 * -2 + a * -2) = 0 -15 + 10a + (-2 + -2a) = 0 Reorder the terms: -15 + -2 + 10a + -2a = 0 Combine like terms: -15 + -2 = -17 -17 + 10a + -2a = 0 Combine like terms: 10a + -2a = 8a -17 + 8a = 0 Solving -17 + 8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 8a = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 8a = 0 + 17 8a = 0 + 17 Combine like terms: 0 + 17 = 17 8a = 17 Divide each side by '8'. a = 2.125 Simplifying a = 2.125
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