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Simplifying 10a + -15 = a + 12 Reorder the terms: -15 + 10a = a + 12 Reorder the terms: -15 + 10a = 12 + a Solving -15 + 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. -15 + 10a + -1a = 12 + a + -1a Combine like terms: 10a + -1a = 9a -15 + 9a = 12 + a + -1a Combine like terms: a + -1a = 0 -15 + 9a = 12 + 0 -15 + 9a = 12 Add '15' to each side of the equation. -15 + 15 + 9a = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 9a = 12 + 15 9a = 12 + 15 Combine like terms: 12 + 15 = 27 9a = 27 Divide each side by '9'. a = 3 Simplifying a = 3
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