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Simplifying 5(15 + a) = 4(3 + -4a) (15 * 5 + a * 5) = 4(3 + -4a) (75 + 5a) = 4(3 + -4a) 75 + 5a = (3 * 4 + -4a * 4) 75 + 5a = (12 + -16a) Solving 75 + 5a = 12 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. 75 + 5a + 16a = 12 + -16a + 16a Combine like terms: 5a + 16a = 21a 75 + 21a = 12 + -16a + 16a Combine like terms: -16a + 16a = 0 75 + 21a = 12 + 0 75 + 21a = 12 Add '-75' to each side of the equation. 75 + -75 + 21a = 12 + -75 Combine like terms: 75 + -75 = 0 0 + 21a = 12 + -75 21a = 12 + -75 Combine like terms: 12 + -75 = -63 21a = -63 Divide each side by '21'. a = -3 Simplifying a = -3
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