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Simplifying 180 = a + 5a + 4(12 + -1a) 180 = a + 5a + (12 * 4 + -1a * 4) 180 = a + 5a + (48 + -4a) Reorder the terms: 180 = 48 + a + 5a + -4a Combine like terms: a + 5a = 6a 180 = 48 + 6a + -4a Combine like terms: 6a + -4a = 2a 180 = 48 + 2a Solving 180 = 48 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 180 + -2a = 48 + 2a + -2a Combine like terms: 2a + -2a = 0 180 + -2a = 48 + 0 180 + -2a = 48 Add '-180' to each side of the equation. 180 + -180 + -2a = 48 + -180 Combine like terms: 180 + -180 = 0 0 + -2a = 48 + -180 -2a = 48 + -180 Combine like terms: 48 + -180 = -132 -2a = -132 Divide each side by '-2'. a = 66 Simplifying a = 66
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