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Simplifying 4(a + 5) = 5(a + -2) Reorder the terms: 4(5 + a) = 5(a + -2) (5 * 4 + a * 4) = 5(a + -2) (20 + 4a) = 5(a + -2) Reorder the terms: 20 + 4a = 5(-2 + a) 20 + 4a = (-2 * 5 + a * 5) 20 + 4a = (-10 + 5a) Solving 20 + 4a = -10 + 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. 20 + 4a + -5a = -10 + 5a + -5a Combine like terms: 4a + -5a = -1a 20 + -1a = -10 + 5a + -5a Combine like terms: 5a + -5a = 0 20 + -1a = -10 + 0 20 + -1a = -10 Add '-20' to each side of the equation. 20 + -20 + -1a = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -1a = -10 + -20 -1a = -10 + -20 Combine like terms: -10 + -20 = -30 -1a = -30 Divide each side by '-1'. a = 30 Simplifying a = 30
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