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Simplifying 3 + -5a + 7 = 5 + -1a Reorder the terms: 3 + 7 + -5a = 5 + -1a Combine like terms: 3 + 7 = 10 10 + -5a = 5 + -1a Solving 10 + -5a = 5 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 10 + -5a + a = 5 + -1a + a Combine like terms: -5a + a = -4a 10 + -4a = 5 + -1a + a Combine like terms: -1a + a = 0 10 + -4a = 5 + 0 10 + -4a = 5 Add '-10' to each side of the equation. 10 + -10 + -4a = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -4a = 5 + -10 -4a = 5 + -10 Combine like terms: 5 + -10 = -5 -4a = -5 Divide each side by '-4'. a = 1.25 Simplifying a = 1.25
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