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Simplifying 3 + -27a + 22a = 4a + -18 + -15 Combine like terms: -27a + 22a = -5a 3 + -5a = 4a + -18 + -15 Reorder the terms: 3 + -5a = -18 + -15 + 4a Combine like terms: -18 + -15 = -33 3 + -5a = -33 + 4a Solving 3 + -5a = -33 + 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. 3 + -5a + -4a = -33 + 4a + -4a Combine like terms: -5a + -4a = -9a 3 + -9a = -33 + 4a + -4a Combine like terms: 4a + -4a = 0 3 + -9a = -33 + 0 3 + -9a = -33 Add '-3' to each side of the equation. 3 + -3 + -9a = -33 + -3 Combine like terms: 3 + -3 = 0 0 + -9a = -33 + -3 -9a = -33 + -3 Combine like terms: -33 + -3 = -36 -9a = -36 Divide each side by '-9'. a = 4 Simplifying a = 4
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