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Simplifying (3b + -4) * 10 = 5(b + -4) Reorder the terms: (-4 + 3b) * 10 = 5(b + -4) Reorder the terms for easier multiplication: 10(-4 + 3b) = 5(b + -4) (-4 * 10 + 3b * 10) = 5(b + -4) (-40 + 30b) = 5(b + -4) Reorder the terms: -40 + 30b = 5(-4 + b) -40 + 30b = (-4 * 5 + b * 5) -40 + 30b = (-20 + 5b) Solving -40 + 30b = -20 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -40 + 30b + -5b = -20 + 5b + -5b Combine like terms: 30b + -5b = 25b -40 + 25b = -20 + 5b + -5b Combine like terms: 5b + -5b = 0 -40 + 25b = -20 + 0 -40 + 25b = -20 Add '40' to each side of the equation. -40 + 40 + 25b = -20 + 40 Combine like terms: -40 + 40 = 0 0 + 25b = -20 + 40 25b = -20 + 40 Combine like terms: -20 + 40 = 20 25b = 20 Divide each side by '25'. b = 0.8 Simplifying b = 0.8
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