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Simplifying 3(2a + 5) = 7a + -4 Reorder the terms: 3(5 + 2a) = 7a + -4 (5 * 3 + 2a * 3) = 7a + -4 (15 + 6a) = 7a + -4 Reorder the terms: 15 + 6a = -4 + 7a Solving 15 + 6a = -4 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 15 + 6a + -7a = -4 + 7a + -7a Combine like terms: 6a + -7a = -1a 15 + -1a = -4 + 7a + -7a Combine like terms: 7a + -7a = 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 = -19 -1a = -19 Divide each side by '-1'. a = 19 Simplifying a = 19
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