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Simplifying 3a + 12 = 6a + 7 Reorder the terms: 12 + 3a = 6a + 7 Reorder the terms: 12 + 3a = 7 + 6a Solving 12 + 3a = 7 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 12 + 3a + -6a = 7 + 6a + -6a Combine like terms: 3a + -6a = -3a 12 + -3a = 7 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + -3a = 7 + 0 12 + -3a = 7 Add '-12' to each side of the equation. 12 + -12 + -3a = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -3a = 7 + -12 -3a = 7 + -12 Combine like terms: 7 + -12 = -5 -3a = -5 Divide each side by '-3'. a = 1.666666667 Simplifying a = 1.666666667
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