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Simplifying 6a + -12 + -1a = 9a + 53 + a Reorder the terms: -12 + 6a + -1a = 9a + 53 + a Combine like terms: 6a + -1a = 5a -12 + 5a = 9a + 53 + a Reorder the terms: -12 + 5a = 53 + 9a + a Combine like terms: 9a + a = 10a -12 + 5a = 53 + 10a Solving -12 + 5a = 53 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -12 + 5a + -10a = 53 + 10a + -10a Combine like terms: 5a + -10a = -5a -12 + -5a = 53 + 10a + -10a Combine like terms: 10a + -10a = 0 -12 + -5a = 53 + 0 -12 + -5a = 53 Add '12' to each side of the equation. -12 + 12 + -5a = 53 + 12 Combine like terms: -12 + 12 = 0 0 + -5a = 53 + 12 -5a = 53 + 12 Combine like terms: 53 + 12 = 65 -5a = 65 Divide each side by '-5'. a = -13 Simplifying a = -13
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