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Simplifying -3a + 27 = a + -5(3 + 2a) Reorder the terms: 27 + -3a = a + -5(3 + 2a) 27 + -3a = a + (3 * -5 + 2a * -5) 27 + -3a = a + (-15 + -10a) Reorder the terms: 27 + -3a = -15 + a + -10a Combine like terms: a + -10a = -9a 27 + -3a = -15 + -9a Solving 27 + -3a = -15 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 27 + -3a + 9a = -15 + -9a + 9a Combine like terms: -3a + 9a = 6a 27 + 6a = -15 + -9a + 9a Combine like terms: -9a + 9a = 0 27 + 6a = -15 + 0 27 + 6a = -15 Add '-27' to each side of the equation. 27 + -27 + 6a = -15 + -27 Combine like terms: 27 + -27 = 0 0 + 6a = -15 + -27 6a = -15 + -27 Combine like terms: -15 + -27 = -42 6a = -42 Divide each side by '6'. a = -7 Simplifying a = -7
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