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Simplifying 1 + 7a + -3 = -8 + 4a Reorder the terms: 1 + -3 + 7a = -8 + 4a Combine like terms: 1 + -3 = -2 -2 + 7a = -8 + 4a Solving -2 + 7a = -8 + 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. -2 + 7a + -4a = -8 + 4a + -4a Combine like terms: 7a + -4a = 3a -2 + 3a = -8 + 4a + -4a Combine like terms: 4a + -4a = 0 -2 + 3a = -8 + 0 -2 + 3a = -8 Add '2' to each side of the equation. -2 + 2 + 3a = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 3a = -8 + 2 3a = -8 + 2 Combine like terms: -8 + 2 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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