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Simplifying 10a + 3 + 1b = 13 + 8b Reorder the terms: 3 + 10a + 1b = 13 + 8b Solving 3 + 10a + 1b = 13 + 8b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 10a + -3 + 1b = 13 + -3 + 8b Reorder the terms: 3 + -3 + 10a + 1b = 13 + -3 + 8b Combine like terms: 3 + -3 = 0 0 + 10a + 1b = 13 + -3 + 8b 10a + 1b = 13 + -3 + 8b Combine like terms: 13 + -3 = 10 10a + 1b = 10 + 8b Add '-1b' to each side of the equation. 10a + 1b + -1b = 10 + 8b + -1b Combine like terms: 1b + -1b = 0 10a + 0 = 10 + 8b + -1b 10a = 10 + 8b + -1b Combine like terms: 8b + -1b = 7b 10a = 10 + 7b Divide each side by '10'. a = 1 + 0.7b Simplifying a = 1 + 0.7b
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