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Simplifying 8 + -4a + -5 = 5(a + -3) Reorder the terms: 8 + -5 + -4a = 5(a + -3) Combine like terms: 8 + -5 = 3 3 + -4a = 5(a + -3) Reorder the terms: 3 + -4a = 5(-3 + a) 3 + -4a = (-3 * 5 + a * 5) 3 + -4a = (-15 + 5a) Solving 3 + -4a = -15 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 3 + -4a + -5a = -15 + 5a + -5a Combine like terms: -4a + -5a = -9a 3 + -9a = -15 + 5a + -5a Combine like terms: 5a + -5a = 0 3 + -9a = -15 + 0 3 + -9a = -15 Add '-3' to each side of the equation. 3 + -3 + -9a = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -9a = -15 + -3 -9a = -15 + -3 Combine like terms: -15 + -3 = -18 -9a = -18 Divide each side by '-9'. a = 2 Simplifying a = 2
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