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Simplifying -27 + 7a = 8(a + -3) Reorder the terms: -27 + 7a = 8(-3 + a) -27 + 7a = (-3 * 8 + a * 8) -27 + 7a = (-24 + 8a) Solving -27 + 7a = -24 + 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. -27 + 7a + -8a = -24 + 8a + -8a Combine like terms: 7a + -8a = -1a -27 + -1a = -24 + 8a + -8a Combine like terms: 8a + -8a = 0 -27 + -1a = -24 + 0 -27 + -1a = -24 Add '27' to each side of the equation. -27 + 27 + -1a = -24 + 27 Combine like terms: -27 + 27 = 0 0 + -1a = -24 + 27 -1a = -24 + 27 Combine like terms: -24 + 27 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3
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