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Simplifying -29 = -3 + 7(a + 5) Reorder the terms: -29 = -3 + 7(5 + a) -29 = -3 + (5 * 7 + a * 7) -29 = -3 + (35 + 7a) Combine like terms: -3 + 35 = 32 -29 = 32 + 7a Solving -29 = 32 + 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. -29 + -7a = 32 + 7a + -7a Combine like terms: 7a + -7a = 0 -29 + -7a = 32 + 0 -29 + -7a = 32 Add '29' to each side of the equation. -29 + 29 + -7a = 32 + 29 Combine like terms: -29 + 29 = 0 0 + -7a = 32 + 29 -7a = 32 + 29 Combine like terms: 32 + 29 = 61 -7a = 61 Divide each side by '-7'. a = -8.714285714 Simplifying a = -8.714285714
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