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Simplifying 6a + (-7) = 3a + -7 + 20 6a + -7 = 3a + -7 + 20 Reorder the terms: -7 + 6a = 3a + -7 + 20 Reorder the terms: -7 + 6a = -7 + 20 + 3a Combine like terms: -7 + 20 = 13 -7 + 6a = 13 + 3a Solving -7 + 6a = 13 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -7 + 6a + -3a = 13 + 3a + -3a Combine like terms: 6a + -3a = 3a -7 + 3a = 13 + 3a + -3a Combine like terms: 3a + -3a = 0 -7 + 3a = 13 + 0 -7 + 3a = 13 Add '7' to each side of the equation. -7 + 7 + 3a = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 3a = 13 + 7 3a = 13 + 7 Combine like terms: 13 + 7 = 20 3a = 20 Divide each side by '3'. a = 6.666666667 Simplifying a = 6.666666667
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