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Simplifying 2a + 5(a + -1) = 2(a + 1) Reorder the terms: 2a + 5(-1 + a) = 2(a + 1) 2a + (-1 * 5 + a * 5) = 2(a + 1) 2a + (-5 + 5a) = 2(a + 1) Reorder the terms: -5 + 2a + 5a = 2(a + 1) Combine like terms: 2a + 5a = 7a -5 + 7a = 2(a + 1) Reorder the terms: -5 + 7a = 2(1 + a) -5 + 7a = (1 * 2 + a * 2) -5 + 7a = (2 + 2a) Solving -5 + 7a = 2 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -5 + 7a + -2a = 2 + 2a + -2a Combine like terms: 7a + -2a = 5a -5 + 5a = 2 + 2a + -2a Combine like terms: 2a + -2a = 0 -5 + 5a = 2 + 0 -5 + 5a = 2 Add '5' to each side of the equation. -5 + 5 + 5a = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 5a = 2 + 5 5a = 2 + 5 Combine like terms: 2 + 5 = 7 5a = 7 Divide each side by '5'. a = 1.4 Simplifying a = 1.4
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