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Simplifying 4(w + -1b) = 3(w + 1) Reorder the terms: 4(-1b + w) = 3(w + 1) (-1b * 4 + w * 4) = 3(w + 1) (-4b + 4w) = 3(w + 1) Reorder the terms: -4b + 4w = 3(1 + w) -4b + 4w = (1 * 3 + w * 3) -4b + 4w = (3 + 3w) Solving -4b + 4w = 3 + 3w Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4w' to each side of the equation. -4b + 4w + -4w = 3 + 3w + -4w Combine like terms: 4w + -4w = 0 -4b + 0 = 3 + 3w + -4w -4b = 3 + 3w + -4w Combine like terms: 3w + -4w = -1w -4b = 3 + -1w Divide each side by '-4'. b = -0.75 + 0.25w Simplifying b = -0.75 + 0.25w
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