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Simplifying -5(a + 5) = -8a + -7 Reorder the terms: -5(5 + a) = -8a + -7 (5 * -5 + a * -5) = -8a + -7 (-25 + -5a) = -8a + -7 Reorder the terms: -25 + -5a = -7 + -8a Solving -25 + -5a = -7 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -25 + -5a + 8a = -7 + -8a + 8a Combine like terms: -5a + 8a = 3a -25 + 3a = -7 + -8a + 8a Combine like terms: -8a + 8a = 0 -25 + 3a = -7 + 0 -25 + 3a = -7 Add '25' to each side of the equation. -25 + 25 + 3a = -7 + 25 Combine like terms: -25 + 25 = 0 0 + 3a = -7 + 25 3a = -7 + 25 Combine like terms: -7 + 25 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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