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Simplifying (10x)(5b + -8c + 2w) = 0 Remove parenthesis around (10x) 10x(5b + -8c + 2w) = 0 (5b * 10x + -8c * 10x + 2w * 10x) = 0 (50bx + -80cx + 20wx) = 0 Solving 50bx + -80cx + 20wx = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '80cx' to each side of the equation. 50bx + -80cx + 80cx + 20wx = 0 + 80cx Combine like terms: -80cx + 80cx = 0 50bx + 0 + 20wx = 0 + 80cx 50bx + 20wx = 0 + 80cx Remove the zero: 50bx + 20wx = 80cx Add '-20wx' to each side of the equation. 50bx + 20wx + -20wx = 80cx + -20wx Combine like terms: 20wx + -20wx = 0 50bx + 0 = 80cx + -20wx 50bx = 80cx + -20wx Divide each side by '50x'. b = 1.6c + -0.4w Simplifying b = 1.6c + -0.4w
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