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Simplifying 5(a + -5) + -5(3a + 1) = 9 Reorder the terms: 5(-5 + a) + -5(3a + 1) = 9 (-5 * 5 + a * 5) + -5(3a + 1) = 9 (-25 + 5a) + -5(3a + 1) = 9 Reorder the terms: -25 + 5a + -5(1 + 3a) = 9 -25 + 5a + (1 * -5 + 3a * -5) = 9 -25 + 5a + (-5 + -15a) = 9 Reorder the terms: -25 + -5 + 5a + -15a = 9 Combine like terms: -25 + -5 = -30 -30 + 5a + -15a = 9 Combine like terms: 5a + -15a = -10a -30 + -10a = 9 Solving -30 + -10a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -10a = 9 + 30 Combine like terms: -30 + 30 = 0 0 + -10a = 9 + 30 -10a = 9 + 30 Combine like terms: 9 + 30 = 39 -10a = 39 Divide each side by '-10'. a = -3.9 Simplifying a = -3.9
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