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Simplifying 5(a + 3) + -9 = -4(9 + -6) + 1 Reorder the terms: 5(3 + a) + -9 = -4(9 + -6) + 1 (3 * 5 + a * 5) + -9 = -4(9 + -6) + 1 (15 + 5a) + -9 = -4(9 + -6) + 1 Reorder the terms: 15 + -9 + 5a = -4(9 + -6) + 1 Combine like terms: 15 + -9 = 6 6 + 5a = -4(9 + -6) + 1 Combine like terms: 9 + -6 = 3 6 + 5a = -4(3) + 1 Multiply -4 * 3 6 + 5a = -12 + 1 Combine like terms: -12 + 1 = -11 6 + 5a = -11 Solving 6 + 5a = -11 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5a = -11 + -6 Combine like terms: 6 + -6 = 0 0 + 5a = -11 + -6 5a = -11 + -6 Combine like terms: -11 + -6 = -17 5a = -17 Divide each side by '5'. a = -3.4 Simplifying a = -3.4
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