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Simplifying 9 + -3 = [4(a + 5) + -3a] Combine like terms: 9 + -3 = 6 6 = [4(a + 5) + -3a] Reorder the terms: 6 = [4(5 + a) + -3a] 6 = [(5 * 4 + a * 4) + -3a] 6 = [(20 + 4a) + -3a] Combine like terms: 4a + -3a = 1a 6 = [20 + 1a] Remove brackets around [20 + 1a] 6 = 20 + 1a Solving 6 = 20 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 6 + -1a = 20 + 1a + -1a Combine like terms: 1a + -1a = 0 6 + -1a = 20 + 0 6 + -1a = 20 Add '-6' to each side of the equation. 6 + -6 + -1a = 20 + -6 Combine like terms: 6 + -6 = 0 0 + -1a = 20 + -6 -1a = 20 + -6 Combine like terms: 20 + -6 = 14 -1a = 14 Divide each side by '-1'. a = -14 Simplifying a = -14
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