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Simplifying 5a + -15 = -1(1 + a) + -8 Reorder the terms: -15 + 5a = -1(1 + a) + -8 -15 + 5a = (1 * -1 + a * -1) + -8 -15 + 5a = (-1 + -1a) + -8 Reorder the terms: -15 + 5a = -1 + -8 + -1a Combine like terms: -1 + -8 = -9 -15 + 5a = -9 + -1a Solving -15 + 5a = -9 + -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. -15 + 5a + a = -9 + -1a + a Combine like terms: 5a + a = 6a -15 + 6a = -9 + -1a + a Combine like terms: -1a + a = 0 -15 + 6a = -9 + 0 -15 + 6a = -9 Add '15' to each side of the equation. -15 + 15 + 6a = -9 + 15 Combine like terms: -15 + 15 = 0 0 + 6a = -9 + 15 6a = -9 + 15 Combine like terms: -9 + 15 = 6 6a = 6 Divide each side by '6'. a = 1 Simplifying a = 1
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