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Simplifying 2a + -5 + 7a = (a + 1) Reorder the terms: -5 + 2a + 7a = (a + 1) Combine like terms: 2a + 7a = 9a -5 + 9a = (a + 1) Reorder the terms: -5 + 9a = (1 + a) Remove parenthesis around (1 + a) -5 + 9a = 1 + a Solving -5 + 9a = 1 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -5 + 9a + -1a = 1 + a + -1a Combine like terms: 9a + -1a = 8a -5 + 8a = 1 + a + -1a Combine like terms: a + -1a = 0 -5 + 8a = 1 + 0 -5 + 8a = 1 Add '5' to each side of the equation. -5 + 5 + 8a = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 8a = 1 + 5 8a = 1 + 5 Combine like terms: 1 + 5 = 6 8a = 6 Divide each side by '8'. a = 0.75 Simplifying a = 0.75
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