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Simplifying 3(5 + -2a) = (3a + 11) (5 * 3 + -2a * 3) = (3a + 11) (15 + -6a) = (3a + 11) Reorder the terms: 15 + -6a = (11 + 3a) Remove parenthesis around (11 + 3a) 15 + -6a = 11 + 3a Solving 15 + -6a = 11 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 15 + -6a + -3a = 11 + 3a + -3a Combine like terms: -6a + -3a = -9a 15 + -9a = 11 + 3a + -3a Combine like terms: 3a + -3a = 0 15 + -9a = 11 + 0 15 + -9a = 11 Add '-15' to each side of the equation. 15 + -15 + -9a = 11 + -15 Combine like terms: 15 + -15 = 0 0 + -9a = 11 + -15 -9a = 11 + -15 Combine like terms: 11 + -15 = -4 -9a = -4 Divide each side by '-9'. a = 0.4444444444 Simplifying a = 0.4444444444
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