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Simplifying -3a + 27 = a + -5(3 + 2) Reorder the terms: 27 + -3a = a + -5(3 + 2) Combine like terms: 3 + 2 = 5 27 + -3a = a + -5(5) Multiply -5 * 5 27 + -3a = a + -25 Reorder the terms: 27 + -3a = -25 + a Solving 27 + -3a = -25 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 27 + -3a + -1a = -25 + a + -1a Combine like terms: -3a + -1a = -4a 27 + -4a = -25 + a + -1a Combine like terms: a + -1a = 0 27 + -4a = -25 + 0 27 + -4a = -25 Add '-27' to each side of the equation. 27 + -27 + -4a = -25 + -27 Combine like terms: 27 + -27 = 0 0 + -4a = -25 + -27 -4a = -25 + -27 Combine like terms: -25 + -27 = -52 -4a = -52 Divide each side by '-4'. a = 13 Simplifying a = 13
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