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Simplifying 12 + 7a = 6 + -1a Solving 12 + 7a = 6 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 12 + 7a + a = 6 + -1a + a Combine like terms: 7a + a = 8a 12 + 8a = 6 + -1a + a Combine like terms: -1a + a = 0 12 + 8a = 6 + 0 12 + 8a = 6 Add '-12' to each side of the equation. 12 + -12 + 8a = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 8a = 6 + -12 8a = 6 + -12 Combine like terms: 6 + -12 = -6 8a = -6 Divide each side by '8'. a = -0.75 Simplifying a = -0.75
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