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Simplifying 2a + -5 + 7a = 3(a + 1) Reorder the terms: -5 + 2a + 7a = 3(a + 1) Combine like terms: 2a + 7a = 9a -5 + 9a = 3(a + 1) Reorder the terms: -5 + 9a = 3(1 + a) -5 + 9a = (1 * 3 + a * 3) -5 + 9a = (3 + 3a) Solving -5 + 9a = 3 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -5 + 9a + -3a = 3 + 3a + -3a Combine like terms: 9a + -3a = 6a -5 + 6a = 3 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + 6a = 3 + 0 -5 + 6a = 3 Add '5' to each side of the equation. -5 + 5 + 6a = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 6a = 3 + 5 6a = 3 + 5 Combine like terms: 3 + 5 = 8 6a = 8 Divide each side by '6'. a = 1.333333333 Simplifying a = 1.333333333
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