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Simplifying 17 + -1b = -4(b + 1) Reorder the terms: 17 + -1b = -4(1 + b) 17 + -1b = (1 * -4 + b * -4) 17 + -1b = (-4 + -4b) Solving 17 + -1b = -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. 17 + -1b + 4b = -4 + -4b + 4b Combine like terms: -1b + 4b = 3b 17 + 3b = -4 + -4b + 4b Combine like terms: -4b + 4b = 0 17 + 3b = -4 + 0 17 + 3b = -4 Add '-17' to each side of the equation. 17 + -17 + 3b = -4 + -17 Combine like terms: 17 + -17 = 0 0 + 3b = -4 + -17 3b = -4 + -17 Combine like terms: -4 + -17 = -21 3b = -21 Divide each side by '3'. b = -7 Simplifying b = -7
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