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Simplifying 2a + 4(a + -1) = 5 + -1(2a + 1) Reorder the terms: 2a + 4(-1 + a) = 5 + -1(2a + 1) 2a + (-1 * 4 + a * 4) = 5 + -1(2a + 1) 2a + (-4 + 4a) = 5 + -1(2a + 1) Reorder the terms: -4 + 2a + 4a = 5 + -1(2a + 1) Combine like terms: 2a + 4a = 6a -4 + 6a = 5 + -1(2a + 1) Reorder the terms: -4 + 6a = 5 + -1(1 + 2a) -4 + 6a = 5 + (1 * -1 + 2a * -1) -4 + 6a = 5 + (-1 + -2a) Combine like terms: 5 + -1 = 4 -4 + 6a = 4 + -2a Solving -4 + 6a = 4 + -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. -4 + 6a + 2a = 4 + -2a + 2a Combine like terms: 6a + 2a = 8a -4 + 8a = 4 + -2a + 2a Combine like terms: -2a + 2a = 0 -4 + 8a = 4 + 0 -4 + 8a = 4 Add '4' to each side of the equation. -4 + 4 + 8a = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 8a = 4 + 4 8a = 4 + 4 Combine like terms: 4 + 4 = 8 8a = 8 Divide each side by '8'. a = 1 Simplifying a = 1
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