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Simplifying 9 = 2a + -5(-9a + 3) Reorder the terms: 9 = 2a + -5(3 + -9a) 9 = 2a + (3 * -5 + -9a * -5) 9 = 2a + (-15 + 45a) Reorder the terms: 9 = -15 + 2a + 45a Combine like terms: 2a + 45a = 47a 9 = -15 + 47a Solving 9 = -15 + 47a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-47a' to each side of the equation. 9 + -47a = -15 + 47a + -47a Combine like terms: 47a + -47a = 0 9 + -47a = -15 + 0 9 + -47a = -15 Add '-9' to each side of the equation. 9 + -9 + -47a = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -47a = -15 + -9 -47a = -15 + -9 Combine like terms: -15 + -9 = -24 -47a = -24 Divide each side by '-47'. a = 0.5106382979 Simplifying a = 0.5106382979
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