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Simplifying 5(a + 3) = 11a + 14 + -5a Reorder the terms: 5(3 + a) = 11a + 14 + -5a (3 * 5 + a * 5) = 11a + 14 + -5a (15 + 5a) = 11a + 14 + -5a Reorder the terms: 15 + 5a = 14 + 11a + -5a Combine like terms: 11a + -5a = 6a 15 + 5a = 14 + 6a Solving 15 + 5a = 14 + 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. 15 + 5a + -6a = 14 + 6a + -6a Combine like terms: 5a + -6a = -1a 15 + -1a = 14 + 6a + -6a Combine like terms: 6a + -6a = 0 15 + -1a = 14 + 0 15 + -1a = 14 Add '-15' to each side of the equation. 15 + -15 + -1a = 14 + -15 Combine like terms: 15 + -15 = 0 0 + -1a = 14 + -15 -1a = 14 + -15 Combine like terms: 14 + -15 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1
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