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Simplifying 3a + -27 = 8a + -42 Reorder the terms: -27 + 3a = 8a + -42 Reorder the terms: -27 + 3a = -42 + 8a Solving -27 + 3a = -42 + 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 + 3a + -8a = -42 + 8a + -8a Combine like terms: 3a + -8a = -5a -27 + -5a = -42 + 8a + -8a Combine like terms: 8a + -8a = 0 -27 + -5a = -42 + 0 -27 + -5a = -42 Add '27' to each side of the equation. -27 + 27 + -5a = -42 + 27 Combine like terms: -27 + 27 = 0 0 + -5a = -42 + 27 -5a = -42 + 27 Combine like terms: -42 + 27 = -15 -5a = -15 Divide each side by '-5'. a = 3 Simplifying a = 3
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