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Simplifying 5(b + -2) = 4(b + -1) Reorder the terms: 5(-2 + b) = 4(b + -1) (-2 * 5 + b * 5) = 4(b + -1) (-10 + 5b) = 4(b + -1) Reorder the terms: -10 + 5b = 4(-1 + b) -10 + 5b = (-1 * 4 + b * 4) -10 + 5b = (-4 + 4b) Solving -10 + 5b = -4 + 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. -10 + 5b + -4b = -4 + 4b + -4b Combine like terms: 5b + -4b = 1b -10 + 1b = -4 + 4b + -4b Combine like terms: 4b + -4b = 0 -10 + 1b = -4 + 0 -10 + 1b = -4 Add '10' to each side of the equation. -10 + 10 + 1b = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 1b = -4 + 10 1b = -4 + 10 Combine like terms: -4 + 10 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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