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Simplifying 5(a + -5) = 7a + (1 + a) Reorder the terms: 5(-5 + a) = 7a + (1 + a) (-5 * 5 + a * 5) = 7a + (1 + a) (-25 + 5a) = 7a + (1 + a) Remove parenthesis around (1 + a) -25 + 5a = 7a + 1 + a Reorder the terms: -25 + 5a = 1 + 7a + a Combine like terms: 7a + a = 8a -25 + 5a = 1 + 8a Solving -25 + 5a = 1 + 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 = 1 + 8a + -8a Combine like terms: 5a + -8a = -3a -25 + -3a = 1 + 8a + -8a Combine like terms: 8a + -8a = 0 -25 + -3a = 1 + 0 -25 + -3a = 1 Add '25' to each side of the equation. -25 + 25 + -3a = 1 + 25 Combine like terms: -25 + 25 = 0 0 + -3a = 1 + 25 -3a = 1 + 25 Combine like terms: 1 + 25 = 26 -3a = 26 Divide each side by '-3'. a = -8.666666667 Simplifying a = -8.666666667
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