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Simplifying 6a + 12 = 7a + 7 Reorder the terms: 12 + 6a = 7a + 7 Reorder the terms: 12 + 6a = 7 + 7a Solving 12 + 6a = 7 + 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 + 6a + -7a = 7 + 7a + -7a Combine like terms: 6a + -7a = -1a 12 + -1a = 7 + 7a + -7a Combine like terms: 7a + -7a = 0 12 + -1a = 7 + 0 12 + -1a = 7 Add '-12' to each side of the equation. 12 + -12 + -1a = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = 7 + -12 -1a = 7 + -12 Combine like terms: 7 + -12 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5
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