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Simplifying 3(a + 5) = 4(a + 1) Reorder the terms: 3(5 + a) = 4(a + 1) (5 * 3 + a * 3) = 4(a + 1) (15 + 3a) = 4(a + 1) Reorder the terms: 15 + 3a = 4(1 + a) 15 + 3a = (1 * 4 + a * 4) 15 + 3a = (4 + 4a) Solving 15 + 3a = 4 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 15 + 3a + -4a = 4 + 4a + -4a Combine like terms: 3a + -4a = -1a 15 + -1a = 4 + 4a + -4a Combine like terms: 4a + -4a = 0 15 + -1a = 4 + 0 15 + -1a = 4 Add '-15' to each side of the equation. 15 + -15 + -1a = 4 + -15 Combine like terms: 15 + -15 = 0 0 + -1a = 4 + -15 -1a = 4 + -15 Combine like terms: 4 + -15 = -11 -1a = -11 Divide each side by '-1'. a = 11 Simplifying a = 11
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