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Simplifying 5(a + -5) = 3a + -1 Reorder the terms: 5(-5 + a) = 3a + -1 (-5 * 5 + a * 5) = 3a + -1 (-25 + 5a) = 3a + -1 Reorder the terms: -25 + 5a = -1 + 3a Solving -25 + 5a = -1 + 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. -25 + 5a + -3a = -1 + 3a + -3a Combine like terms: 5a + -3a = 2a -25 + 2a = -1 + 3a + -3a Combine like terms: 3a + -3a = 0 -25 + 2a = -1 + 0 -25 + 2a = -1 Add '25' to each side of the equation. -25 + 25 + 2a = -1 + 25 Combine like terms: -25 + 25 = 0 0 + 2a = -1 + 25 2a = -1 + 25 Combine like terms: -1 + 25 = 24 2a = 24 Divide each side by '2'. a = 12 Simplifying a = 12
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