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Simplifying k + -1f + -1d + -1e + -1r + -1b + -5 = w Reorder the terms: -5 + -1b + -1d + -1e + -1f + k + -1r = w Solving -5 + -1b + -1d + -1e + -1f + k + -1r = w Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1b + -1d + -1e + -1f + k + 5 + -1r = 5 + w Reorder the terms: -5 + 5 + -1b + -1d + -1e + -1f + k + -1r = 5 + w Combine like terms: -5 + 5 = 0 0 + -1b + -1d + -1e + -1f + k + -1r = 5 + w -1b + -1d + -1e + -1f + k + -1r = 5 + w Add 'd' to each side of the equation. -1b + -1d + -1e + -1f + k + d + -1r = 5 + d + w Reorder the terms: -1b + -1d + d + -1e + -1f + k + -1r = 5 + d + w Combine like terms: -1d + d = 0 -1b + 0 + -1e + -1f + k + -1r = 5 + d + w -1b + -1e + -1f + k + -1r = 5 + d + w Add 'e' to each side of the equation. -1b + -1e + -1f + k + e + -1r = 5 + d + e + w Reorder the terms: -1b + -1e + e + -1f + k + -1r = 5 + d + e + w Combine like terms: -1e + e = 0 -1b + 0 + -1f + k + -1r = 5 + d + e + w -1b + -1f + k + -1r = 5 + d + e + w Add 'f' to each side of the equation. -1b + -1f + k + f + -1r = 5 + d + e + f + w Reorder the terms: -1b + -1f + f + k + -1r = 5 + d + e + f + w Combine like terms: -1f + f = 0 -1b + 0 + k + -1r = 5 + d + e + f + w -1b + k + -1r = 5 + d + e + f + w Add '-1k' to each side of the equation. -1b + k + -1k + -1r = 5 + d + e + f + -1k + w Combine like terms: k + -1k = 0 -1b + 0 + -1r = 5 + d + e + f + -1k + w -1b + -1r = 5 + d + e + f + -1k + w Add 'r' to each side of the equation. -1b + -1r + r = 5 + d + e + f + -1k + r + w Combine like terms: -1r + r = 0 -1b + 0 = 5 + d + e + f + -1k + r + w -1b = 5 + d + e + f + -1k + r + w Divide each side by '-1'. b = -5 + -1d + -1e + -1f + k + -1r + -1w Simplifying b = -5 + -1d + -1e + -1f + k + -1r + -1w
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