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Simplifying 180 = a + 2a + 15 + a + -35 Reorder the terms: 180 = 15 + -35 + a + 2a + a Combine like terms: 15 + -35 = -20 180 = -20 + a + 2a + a Combine like terms: a + 2a = 3a 180 = -20 + 3a + a Combine like terms: 3a + a = 4a 180 = -20 + 4a Solving 180 = -20 + 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. 180 + -4a = -20 + 4a + -4a Combine like terms: 4a + -4a = 0 180 + -4a = -20 + 0 180 + -4a = -20 Add '-180' to each side of the equation. 180 + -180 + -4a = -20 + -180 Combine like terms: 180 + -180 = 0 0 + -4a = -20 + -180 -4a = -20 + -180 Combine like terms: -20 + -180 = -200 -4a = -200 Divide each side by '-4'. a = 50 Simplifying a = 50
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