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Simplifying 7(3a + -1) + 43 = 3(5a + 4) Reorder the terms: 7(-1 + 3a) + 43 = 3(5a + 4) (-1 * 7 + 3a * 7) + 43 = 3(5a + 4) (-7 + 21a) + 43 = 3(5a + 4) Reorder the terms: -7 + 43 + 21a = 3(5a + 4) Combine like terms: -7 + 43 = 36 36 + 21a = 3(5a + 4) Reorder the terms: 36 + 21a = 3(4 + 5a) 36 + 21a = (4 * 3 + 5a * 3) 36 + 21a = (12 + 15a) Solving 36 + 21a = 12 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 36 + 21a + -15a = 12 + 15a + -15a Combine like terms: 21a + -15a = 6a 36 + 6a = 12 + 15a + -15a Combine like terms: 15a + -15a = 0 36 + 6a = 12 + 0 36 + 6a = 12 Add '-36' to each side of the equation. 36 + -36 + 6a = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 6a = 12 + -36 6a = 12 + -36 Combine like terms: 12 + -36 = -24 6a = -24 Divide each side by '6'. a = -4 Simplifying a = -4
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