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Simplifying 6 + 7a = -3 + 4a + 7 Reorder the terms: 6 + 7a = -3 + 7 + 4a Combine like terms: -3 + 7 = 4 6 + 7a = 4 + 4a Solving 6 + 7a = 4 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 6 + 7a + -4a = 4 + 4a + -4a Combine like terms: 7a + -4a = 3a 6 + 3a = 4 + 4a + -4a Combine like terms: 4a + -4a = 0 6 + 3a = 4 + 0 6 + 3a = 4 Add '-6' to each side of the equation. 6 + -6 + 3a = 4 + -6 Combine like terms: 6 + -6 = 0 0 + 3a = 4 + -6 3a = 4 + -6 Combine like terms: 4 + -6 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667
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