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Simplifying 180 = a + 4a + 102 + a Reorder the terms: 180 = 102 + a + 4a + a Combine like terms: a + 4a = 5a 180 = 102 + 5a + a Combine like terms: 5a + a = 6a 180 = 102 + 6a Solving 180 = 102 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 180 + -6a = 102 + 6a + -6a Combine like terms: 6a + -6a = 0 180 + -6a = 102 + 0 180 + -6a = 102 Add '-180' to each side of the equation. 180 + -180 + -6a = 102 + -180 Combine like terms: 180 + -180 = 0 0 + -6a = 102 + -180 -6a = 102 + -180 Combine like terms: 102 + -180 = -78 -6a = -78 Divide each side by '-6'. a = 13 Simplifying a = 13
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