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Simplifying 4(a + 5) = 3(a + -5) Reorder the terms: 4(5 + a) = 3(a + -5) (5 * 4 + a * 4) = 3(a + -5) (20 + 4a) = 3(a + -5) Reorder the terms: 20 + 4a = 3(-5 + a) 20 + 4a = (-5 * 3 + a * 3) 20 + 4a = (-15 + 3a) Solving 20 + 4a = -15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 20 + 4a + -3a = -15 + 3a + -3a Combine like terms: 4a + -3a = 1a 20 + 1a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 20 + 1a = -15 + 0 20 + 1a = -15 Add '-20' to each side of the equation. 20 + -20 + 1a = -15 + -20 Combine like terms: 20 + -20 = 0 0 + 1a = -15 + -20 1a = -15 + -20 Combine like terms: -15 + -20 = -35 1a = -35 Divide each side by '1'. a = -35 Simplifying a = -35
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