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Simplifying -3b + 2c + 5b = 2(4 + a) + -2b Reorder the terms: -3b + 5b + 2c = 2(4 + a) + -2b Combine like terms: -3b + 5b = 2b 2b + 2c = 2(4 + a) + -2b 2b + 2c = (4 * 2 + a * 2) + -2b 2b + 2c = (8 + 2a) + -2b Solving 2b + 2c = 8 + 2a + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 2b + 2b + 2c = 8 + 2a + -2b + 2b Combine like terms: 2b + 2b = 4b 4b + 2c = 8 + 2a + -2b + 2b Combine like terms: -2b + 2b = 0 4b + 2c = 8 + 2a + 0 4b + 2c = 8 + 2a Add '-2c' to each side of the equation. 4b + 2c + -2c = 8 + 2a + -2c Combine like terms: 2c + -2c = 0 4b + 0 = 8 + 2a + -2c 4b = 8 + 2a + -2c Divide each side by '4'. b = 2 + 0.5a + -0.5c Simplifying b = 2 + 0.5a + -0.5c
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