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Simplifying -21 + 5b = 2(7b + 4) Reorder the terms: -21 + 5b = 2(4 + 7b) -21 + 5b = (4 * 2 + 7b * 2) -21 + 5b = (8 + 14b) Solving -21 + 5b = 8 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. -21 + 5b + -14b = 8 + 14b + -14b Combine like terms: 5b + -14b = -9b -21 + -9b = 8 + 14b + -14b Combine like terms: 14b + -14b = 0 -21 + -9b = 8 + 0 -21 + -9b = 8 Add '21' to each side of the equation. -21 + 21 + -9b = 8 + 21 Combine like terms: -21 + 21 = 0 0 + -9b = 8 + 21 -9b = 8 + 21 Combine like terms: 8 + 21 = 29 -9b = 29 Divide each side by '-9'. b = -3.222222222 Simplifying b = -3.222222222
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