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Simplifying -17 + 8b = -8(1 + b) + 7 -17 + 8b = (1 * -8 + b * -8) + 7 -17 + 8b = (-8 + -8b) + 7 Reorder the terms: -17 + 8b = -8 + 7 + -8b Combine like terms: -8 + 7 = -1 -17 + 8b = -1 + -8b Solving -17 + 8b = -1 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -17 + 8b + 8b = -1 + -8b + 8b Combine like terms: 8b + 8b = 16b -17 + 16b = -1 + -8b + 8b Combine like terms: -8b + 8b = 0 -17 + 16b = -1 + 0 -17 + 16b = -1 Add '17' to each side of the equation. -17 + 17 + 16b = -1 + 17 Combine like terms: -17 + 17 = 0 0 + 16b = -1 + 17 16b = -1 + 17 Combine like terms: -1 + 17 = 16 16b = 16 Divide each side by '16'. b = 1 Simplifying b = 1
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