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Simplifying 5(3a + -6) + -5a = -12 + a Reorder the terms: 5(-6 + 3a) + -5a = -12 + a (-6 * 5 + 3a * 5) + -5a = -12 + a (-30 + 15a) + -5a = -12 + a Combine like terms: 15a + -5a = 10a -30 + 10a = -12 + a Solving -30 + 10a = -12 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -30 + 10a + -1a = -12 + a + -1a Combine like terms: 10a + -1a = 9a -30 + 9a = -12 + a + -1a Combine like terms: a + -1a = 0 -30 + 9a = -12 + 0 -30 + 9a = -12 Add '30' to each side of the equation. -30 + 30 + 9a = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 9a = -12 + 30 9a = -12 + 30 Combine like terms: -12 + 30 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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