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Simplifying 7(a + 1) + -3 = 5 + 4(2a + -1) Reorder the terms: 7(1 + a) + -3 = 5 + 4(2a + -1) (1 * 7 + a * 7) + -3 = 5 + 4(2a + -1) (7 + 7a) + -3 = 5 + 4(2a + -1) Reorder the terms: 7 + -3 + 7a = 5 + 4(2a + -1) Combine like terms: 7 + -3 = 4 4 + 7a = 5 + 4(2a + -1) Reorder the terms: 4 + 7a = 5 + 4(-1 + 2a) 4 + 7a = 5 + (-1 * 4 + 2a * 4) 4 + 7a = 5 + (-4 + 8a) Combine like terms: 5 + -4 = 1 4 + 7a = 1 + 8a Solving 4 + 7a = 1 + 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. 4 + 7a + -8a = 1 + 8a + -8a Combine like terms: 7a + -8a = -1a 4 + -1a = 1 + 8a + -8a Combine like terms: 8a + -8a = 0 4 + -1a = 1 + 0 4 + -1a = 1 Add '-4' to each side of the equation. 4 + -4 + -1a = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 1 + -4 -1a = 1 + -4 Combine like terms: 1 + -4 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3
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