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Simplifying 4b + 21 = b + 7(2b + -8) Reorder the terms: 21 + 4b = b + 7(2b + -8) Reorder the terms: 21 + 4b = b + 7(-8 + 2b) 21 + 4b = b + (-8 * 7 + 2b * 7) 21 + 4b = b + (-56 + 14b) Reorder the terms: 21 + 4b = -56 + b + 14b Combine like terms: b + 14b = 15b 21 + 4b = -56 + 15b Solving 21 + 4b = -56 + 15b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15b' to each side of the equation. 21 + 4b + -15b = -56 + 15b + -15b Combine like terms: 4b + -15b = -11b 21 + -11b = -56 + 15b + -15b Combine like terms: 15b + -15b = 0 21 + -11b = -56 + 0 21 + -11b = -56 Add '-21' to each side of the equation. 21 + -21 + -11b = -56 + -21 Combine like terms: 21 + -21 = 0 0 + -11b = -56 + -21 -11b = -56 + -21 Combine like terms: -56 + -21 = -77 -11b = -77 Divide each side by '-11'. b = 7 Simplifying b = 7
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