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Simplifying 12a + -12a + -15 = 8a + 1 Reorder the terms: -15 + 12a + -12a = 8a + 1 Combine like terms: 12a + -12a = 0 -15 + 0 = 8a + 1 -15 = 8a + 1 Reorder the terms: -15 = 1 + 8a Solving -15 = 1 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -15 + -8a = 1 + 8a + -8a Combine like terms: 8a + -8a = 0 -15 + -8a = 1 + 0 -15 + -8a = 1 Add '15' to each side of the equation. -15 + 15 + -8a = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -8a = 1 + 15 -8a = 1 + 15 Combine like terms: 1 + 15 = 16 -8a = 16 Divide each side by '-8'. a = -2 Simplifying a = -2
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