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Simplifying -21 = 5(5 + -5b) + 2(6 + -2b) -21 = (5 * 5 + -5b * 5) + 2(6 + -2b) -21 = (25 + -25b) + 2(6 + -2b) -21 = 25 + -25b + (6 * 2 + -2b * 2) -21 = 25 + -25b + (12 + -4b) Reorder the terms: -21 = 25 + 12 + -25b + -4b Combine like terms: 25 + 12 = 37 -21 = 37 + -25b + -4b Combine like terms: -25b + -4b = -29b -21 = 37 + -29b Solving -21 = 37 + -29b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '29b' to each side of the equation. -21 + 29b = 37 + -29b + 29b Combine like terms: -29b + 29b = 0 -21 + 29b = 37 + 0 -21 + 29b = 37 Add '21' to each side of the equation. -21 + 21 + 29b = 37 + 21 Combine like terms: -21 + 21 = 0 0 + 29b = 37 + 21 29b = 37 + 21 Combine like terms: 37 + 21 = 58 29b = 58 Divide each side by '29'. b = 2 Simplifying b = 2
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