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Simplifying 3a + -8 = 7a + 1 Reorder the terms: -8 + 3a = 7a + 1 Reorder the terms: -8 + 3a = 1 + 7a Solving -8 + 3a = 1 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -8 + 3a + -7a = 1 + 7a + -7a Combine like terms: 3a + -7a = -4a -8 + -4a = 1 + 7a + -7a Combine like terms: 7a + -7a = 0 -8 + -4a = 1 + 0 -8 + -4a = 1 Add '8' to each side of the equation. -8 + 8 + -4a = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -4a = 1 + 8 -4a = 1 + 8 Combine like terms: 1 + 8 = 9 -4a = 9 Divide each side by '-4'. a = -2.25 Simplifying a = -2.25
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