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Simplifying 4a + 7 + -5a = 10 + a Reorder the terms: 7 + 4a + -5a = 10 + a Combine like terms: 4a + -5a = -1a 7 + -1a = 10 + a Solving 7 + -1a = 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 + -1a + -1a = 10 + a + -1a Combine like terms: -1a + -1a = -2a 7 + -2a = 10 + a + -1a Combine like terms: a + -1a = 0 7 + -2a = 10 + 0 7 + -2a = 10 Add '-7' to each side of the equation. 7 + -7 + -2a = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = 10 + -7 -2a = 10 + -7 Combine like terms: 10 + -7 = 3 -2a = 3 Divide each side by '-2'. a = -1.5 Simplifying a = -1.5
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