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Simplifying 2(b + 3c + -5) + -1(b + -2c) = 0 Reorder the terms: 2(-5 + b + 3c) + -1(b + -2c) = 0 (-5 * 2 + b * 2 + 3c * 2) + -1(b + -2c) = 0 (-10 + 2b + 6c) + -1(b + -2c) = 0 -10 + 2b + 6c + (b * -1 + -2c * -1) = 0 -10 + 2b + 6c + (-1b + 2c) = 0 Reorder the terms: -10 + 2b + -1b + 6c + 2c = 0 Combine like terms: 2b + -1b = 1b -10 + 1b + 6c + 2c = 0 Combine like terms: 6c + 2c = 8c -10 + 1b + 8c = 0 Solving -10 + 1b + 8c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 1b + 10 + 8c = 0 + 10 Reorder the terms: -10 + 10 + 1b + 8c = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1b + 8c = 0 + 10 1b + 8c = 0 + 10 Combine like terms: 0 + 10 = 10 1b + 8c = 10 Add '-8c' to each side of the equation. 1b + 8c + -8c = 10 + -8c Combine like terms: 8c + -8c = 0 1b + 0 = 10 + -8c 1b = 10 + -8c Divide each side by '1'. b = 10 + -8c Simplifying b = 10 + -8c
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