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Simplifying 12 + -1a = 15 + -7a Solving 12 + -1a = 15 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 12 + -1a + 7a = 15 + -7a + 7a Combine like terms: -1a + 7a = 6a 12 + 6a = 15 + -7a + 7a Combine like terms: -7a + 7a = 0 12 + 6a = 15 + 0 12 + 6a = 15 Add '-12' to each side of the equation. 12 + -12 + 6a = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 6a = 15 + -12 6a = 15 + -12 Combine like terms: 15 + -12 = 3 6a = 3 Divide each side by '6'. a = 0.5 Simplifying a = 0.5
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