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Simplifying 4(a + 5) = 2(-3a + 5) Reorder the terms: 4(5 + a) = 2(-3a + 5) (5 * 4 + a * 4) = 2(-3a + 5) (20 + 4a) = 2(-3a + 5) Reorder the terms: 20 + 4a = 2(5 + -3a) 20 + 4a = (5 * 2 + -3a * 2) 20 + 4a = (10 + -6a) Solving 20 + 4a = 10 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 20 + 4a + 6a = 10 + -6a + 6a Combine like terms: 4a + 6a = 10a 20 + 10a = 10 + -6a + 6a Combine like terms: -6a + 6a = 0 20 + 10a = 10 + 0 20 + 10a = 10 Add '-20' to each side of the equation. 20 + -20 + 10a = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 10a = 10 + -20 10a = 10 + -20 Combine like terms: 10 + -20 = -10 10a = -10 Divide each side by '10'. a = -1 Simplifying a = -1
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