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Simplifying -8(a + 1) = 27 + -1a Reorder the terms: -8(1 + a) = 27 + -1a (1 * -8 + a * -8) = 27 + -1a (-8 + -8a) = 27 + -1a Solving -8 + -8a = 27 + -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. -8 + -8a + a = 27 + -1a + a Combine like terms: -8a + a = -7a -8 + -7a = 27 + -1a + a Combine like terms: -1a + a = 0 -8 + -7a = 27 + 0 -8 + -7a = 27 Add '8' to each side of the equation. -8 + 8 + -7a = 27 + 8 Combine like terms: -8 + 8 = 0 0 + -7a = 27 + 8 -7a = 27 + 8 Combine like terms: 27 + 8 = 35 -7a = 35 Divide each side by '-7'. a = -5 Simplifying a = -5
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