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Simplifying 5(a + 5) = 4(a + -1) Reorder the terms: 5(5 + a) = 4(a + -1) (5 * 5 + a * 5) = 4(a + -1) (25 + 5a) = 4(a + -1) Reorder the terms: 25 + 5a = 4(-1 + a) 25 + 5a = (-1 * 4 + a * 4) 25 + 5a = (-4 + 4a) Solving 25 + 5a = -4 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 25 + 5a + -4a = -4 + 4a + -4a Combine like terms: 5a + -4a = 1a 25 + 1a = -4 + 4a + -4a Combine like terms: 4a + -4a = 0 25 + 1a = -4 + 0 25 + 1a = -4 Add '-25' to each side of the equation. 25 + -25 + 1a = -4 + -25 Combine like terms: 25 + -25 = 0 0 + 1a = -4 + -25 1a = -4 + -25 Combine like terms: -4 + -25 = -29 1a = -29 Divide each side by '1'. a = -29 Simplifying a = -29
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