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Simplifying 7(a + 1) + -3a = 5 + 4(29 + -1) Reorder the terms: 7(1 + a) + -3a = 5 + 4(29 + -1) (1 * 7 + a * 7) + -3a = 5 + 4(29 + -1) (7 + 7a) + -3a = 5 + 4(29 + -1) Combine like terms: 7a + -3a = 4a 7 + 4a = 5 + 4(29 + -1) Combine like terms: 29 + -1 = 28 7 + 4a = 5 + 4(28) Multiply 4 * 28 7 + 4a = 5 + 112 Combine like terms: 5 + 112 = 117 7 + 4a = 117 Solving 7 + 4a = 117 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4a = 117 + -7 Combine like terms: 7 + -7 = 0 0 + 4a = 117 + -7 4a = 117 + -7 Combine like terms: 117 + -7 = 110 4a = 110 Divide each side by '4'. a = 27.5 Simplifying a = 27.5
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