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Simplifying a + 29 = -1(4a + 3) + -3 Reorder the terms: 29 + a = -1(4a + 3) + -3 Reorder the terms: 29 + a = -1(3 + 4a) + -3 29 + a = (3 * -1 + 4a * -1) + -3 29 + a = (-3 + -4a) + -3 Reorder the terms: 29 + a = -3 + -3 + -4a Combine like terms: -3 + -3 = -6 29 + a = -6 + -4a Solving 29 + a = -6 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 29 + a + 4a = -6 + -4a + 4a Combine like terms: a + 4a = 5a 29 + 5a = -6 + -4a + 4a Combine like terms: -4a + 4a = 0 29 + 5a = -6 + 0 29 + 5a = -6 Add '-29' to each side of the equation. 29 + -29 + 5a = -6 + -29 Combine like terms: 29 + -29 = 0 0 + 5a = -6 + -29 5a = -6 + -29 Combine like terms: -6 + -29 = -35 5a = -35 Divide each side by '5'. a = -7 Simplifying a = -7
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