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Simplifying 45 + -1a = 20 + a Solving 45 + -1a = 20 + 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. 45 + -1a + -1a = 20 + a + -1a Combine like terms: -1a + -1a = -2a 45 + -2a = 20 + a + -1a Combine like terms: a + -1a = 0 45 + -2a = 20 + 0 45 + -2a = 20 Add '-45' to each side of the equation. 45 + -45 + -2a = 20 + -45 Combine like terms: 45 + -45 = 0 0 + -2a = 20 + -45 -2a = 20 + -45 Combine like terms: 20 + -45 = -25 -2a = -25 Divide each side by '-2'. a = 12.5 Simplifying a = 12.5
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