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Simplifying 4(2a + 5) + 4 = 3(5a + -6) Reorder the terms: 4(5 + 2a) + 4 = 3(5a + -6) (5 * 4 + 2a * 4) + 4 = 3(5a + -6) (20 + 8a) + 4 = 3(5a + -6) Reorder the terms: 20 + 4 + 8a = 3(5a + -6) Combine like terms: 20 + 4 = 24 24 + 8a = 3(5a + -6) Reorder the terms: 24 + 8a = 3(-6 + 5a) 24 + 8a = (-6 * 3 + 5a * 3) 24 + 8a = (-18 + 15a) Solving 24 + 8a = -18 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 24 + 8a + -15a = -18 + 15a + -15a Combine like terms: 8a + -15a = -7a 24 + -7a = -18 + 15a + -15a Combine like terms: 15a + -15a = 0 24 + -7a = -18 + 0 24 + -7a = -18 Add '-24' to each side of the equation. 24 + -24 + -7a = -18 + -24 Combine like terms: 24 + -24 = 0 0 + -7a = -18 + -24 -7a = -18 + -24 Combine like terms: -18 + -24 = -42 -7a = -42 Divide each side by '-7'. a = 6 Simplifying a = 6
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