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Simplifying 5(b + -4) = 4(b + -3) Reorder the terms: 5(-4 + b) = 4(b + -3) (-4 * 5 + b * 5) = 4(b + -3) (-20 + 5b) = 4(b + -3) Reorder the terms: -20 + 5b = 4(-3 + b) -20 + 5b = (-3 * 4 + b * 4) -20 + 5b = (-12 + 4b) Solving -20 + 5b = -12 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -20 + 5b + -4b = -12 + 4b + -4b Combine like terms: 5b + -4b = 1b -20 + 1b = -12 + 4b + -4b Combine like terms: 4b + -4b = 0 -20 + 1b = -12 + 0 -20 + 1b = -12 Add '20' to each side of the equation. -20 + 20 + 1b = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 1b = -12 + 20 1b = -12 + 20 Combine like terms: -12 + 20 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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