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Simplifying a + 27 = 4a + -15 Reorder the terms: 27 + a = 4a + -15 Reorder the terms: 27 + a = -15 + 4a Solving 27 + a = -15 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 27 + a + -4a = -15 + 4a + -4a Combine like terms: a + -4a = -3a 27 + -3a = -15 + 4a + -4a Combine like terms: 4a + -4a = 0 27 + -3a = -15 + 0 27 + -3a = -15 Add '-27' to each side of the equation. 27 + -27 + -3a = -15 + -27 Combine like terms: 27 + -27 = 0 0 + -3a = -15 + -27 -3a = -15 + -27 Combine like terms: -15 + -27 = -42 -3a = -42 Divide each side by '-3'. a = 14 Simplifying a = 14
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