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Simplifying 40 = (25 + -1a) + a + (2a + 3) Remove parenthesis around (25 + -1a) 40 = 25 + -1a + a + (2a + 3) Reorder the terms: 40 = 25 + -1a + a + (3 + 2a) Remove parenthesis around (3 + 2a) 40 = 25 + -1a + a + 3 + 2a Reorder the terms: 40 = 25 + 3 + -1a + a + 2a Combine like terms: 25 + 3 = 28 40 = 28 + -1a + a + 2a Combine like terms: -1a + a = 0 40 = 28 + 0 + 2a 40 = 28 + 2a Solving 40 = 28 + 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. 40 + -2a = 28 + 2a + -2a Combine like terms: 2a + -2a = 0 40 + -2a = 28 + 0 40 + -2a = 28 Add '-40' to each side of the equation. 40 + -40 + -2a = 28 + -40 Combine like terms: 40 + -40 = 0 0 + -2a = 28 + -40 -2a = 28 + -40 Combine like terms: 28 + -40 = -12 -2a = -12 Divide each side by '-2'. a = 6 Simplifying a = 6
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