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