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Simplifying 5(-17b + 81) = -5(-3b + -1) Reorder the terms: 5(81 + -17b) = -5(-3b + -1) (81 * 5 + -17b * 5) = -5(-3b + -1) (405 + -85b) = -5(-3b + -1) Reorder the terms: 405 + -85b = -5(-1 + -3b) 405 + -85b = (-1 * -5 + -3b * -5) 405 + -85b = (5 + 15b) Solving 405 + -85b = 5 + 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. 405 + -85b + -15b = 5 + 15b + -15b Combine like terms: -85b + -15b = -100b 405 + -100b = 5 + 15b + -15b Combine like terms: 15b + -15b = 0 405 + -100b = 5 + 0 405 + -100b = 5 Add '-405' to each side of the equation. 405 + -405 + -100b = 5 + -405 Combine like terms: 405 + -405 = 0 0 + -100b = 5 + -405 -100b = 5 + -405 Combine like terms: 5 + -405 = -400 -100b = -400 Divide each side by '-100'. b = 4 Simplifying b = 4
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