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Simplifying -5(5 + -2a) = 6a + 8 + -7a (5 * -5 + -2a * -5) = 6a + 8 + -7a (-25 + 10a) = 6a + 8 + -7a Reorder the terms: -25 + 10a = 8 + 6a + -7a Combine like terms: 6a + -7a = -1a -25 + 10a = 8 + -1a Solving -25 + 10a = 8 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -25 + 10a + a = 8 + -1a + a Combine like terms: 10a + a = 11a -25 + 11a = 8 + -1a + a Combine like terms: -1a + a = 0 -25 + 11a = 8 + 0 -25 + 11a = 8 Add '25' to each side of the equation. -25 + 25 + 11a = 8 + 25 Combine like terms: -25 + 25 = 0 0 + 11a = 8 + 25 11a = 8 + 25 Combine like terms: 8 + 25 = 33 11a = 33 Divide each side by '11'. a = 3 Simplifying a = 3
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