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Simplifying 7(a + 1) + -3a = 5 + 4(2a + 1) Reorder the terms: 7(1 + a) + -3a = 5 + 4(2a + 1) (1 * 7 + a * 7) + -3a = 5 + 4(2a + 1) (7 + 7a) + -3a = 5 + 4(2a + 1) Combine like terms: 7a + -3a = 4a 7 + 4a = 5 + 4(2a + 1) Reorder the terms: 7 + 4a = 5 + 4(1 + 2a) 7 + 4a = 5 + (1 * 4 + 2a * 4) 7 + 4a = 5 + (4 + 8a) Combine like terms: 5 + 4 = 9 7 + 4a = 9 + 8a Solving 7 + 4a = 9 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 7 + 4a + -8a = 9 + 8a + -8a Combine like terms: 4a + -8a = -4a 7 + -4a = 9 + 8a + -8a Combine like terms: 8a + -8a = 0 7 + -4a = 9 + 0 7 + -4a = 9 Add '-7' to each side of the equation. 7 + -7 + -4a = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = 9 + -7 -4a = 9 + -7 Combine like terms: 9 + -7 = 2 -4a = 2 Divide each side by '-4'. a = -0.5 Simplifying a = -0.5
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