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Simplifying 7(2a + 3) + -15 = 3(4a + 7) + -3 Reorder the terms: 7(3 + 2a) + -15 = 3(4a + 7) + -3 (3 * 7 + 2a * 7) + -15 = 3(4a + 7) + -3 (21 + 14a) + -15 = 3(4a + 7) + -3 Reorder the terms: 21 + -15 + 14a = 3(4a + 7) + -3 Combine like terms: 21 + -15 = 6 6 + 14a = 3(4a + 7) + -3 Reorder the terms: 6 + 14a = 3(7 + 4a) + -3 6 + 14a = (7 * 3 + 4a * 3) + -3 6 + 14a = (21 + 12a) + -3 Reorder the terms: 6 + 14a = 21 + -3 + 12a Combine like terms: 21 + -3 = 18 6 + 14a = 18 + 12a Solving 6 + 14a = 18 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 6 + 14a + -12a = 18 + 12a + -12a Combine like terms: 14a + -12a = 2a 6 + 2a = 18 + 12a + -12a Combine like terms: 12a + -12a = 0 6 + 2a = 18 + 0 6 + 2a = 18 Add '-6' to each side of the equation. 6 + -6 + 2a = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 2a = 18 + -6 2a = 18 + -6 Combine like terms: 18 + -6 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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