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Simplifying 10 + 2b = 8a + 7b Solving 10 + 2b = 8a + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 10 + 2b + -7b = 8a + 7b + -7b Combine like terms: 2b + -7b = -5b 10 + -5b = 8a + 7b + -7b Combine like terms: 7b + -7b = 0 10 + -5b = 8a + 0 10 + -5b = 8a Add '-10' to each side of the equation. 10 + -10 + -5b = -10 + 8a Combine like terms: 10 + -10 = 0 0 + -5b = -10 + 8a -5b = -10 + 8a Divide each side by '-5'. b = 2 + -1.6a Simplifying b = 2 + -1.6a
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