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Simplifying 4a + -7 = 10 + a Reorder the terms: -7 + 4a = 10 + a Solving -7 + 4a = 10 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -7 + 4a + -1a = 10 + a + -1a Combine like terms: 4a + -1a = 3a -7 + 3a = 10 + a + -1a Combine like terms: a + -1a = 0 -7 + 3a = 10 + 0 -7 + 3a = 10 Add '7' to each side of the equation. -7 + 7 + 3a = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 3a = 10 + 7 3a = 10 + 7 Combine like terms: 10 + 7 = 17 3a = 17 Divide each side by '3'. a = 5.666666667 Simplifying a = 5.666666667
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