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Simplifying 5(3a + -2) + -7a + 7 = 29 Reorder the terms: 5(-2 + 3a) + -7a + 7 = 29 (-2 * 5 + 3a * 5) + -7a + 7 = 29 (-10 + 15a) + -7a + 7 = 29 Reorder the terms: -10 + 7 + 15a + -7a = 29 Combine like terms: -10 + 7 = -3 -3 + 15a + -7a = 29 Combine like terms: 15a + -7a = 8a -3 + 8a = 29 Solving -3 + 8a = 29 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8a = 29 + 3 Combine like terms: -3 + 3 = 0 0 + 8a = 29 + 3 8a = 29 + 3 Combine like terms: 29 + 3 = 32 8a = 32 Divide each side by '8'. a = 4 Simplifying a = 4
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