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Simplifying 7a + -7 = 4a + 1 Reorder the terms: -7 + 7a = 4a + 1 Reorder the terms: -7 + 7a = 1 + 4a Solving -7 + 7a = 1 + 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. -7 + 7a + -4a = 1 + 4a + -4a Combine like terms: 7a + -4a = 3a -7 + 3a = 1 + 4a + -4a Combine like terms: 4a + -4a = 0 -7 + 3a = 1 + 0 -7 + 3a = 1 Add '7' to each side of the equation. -7 + 7 + 3a = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 3a = 1 + 7 3a = 1 + 7 Combine like terms: 1 + 7 = 8 3a = 8 Divide each side by '3'. a = 2.666666667 Simplifying a = 2.666666667
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