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Simplifying 5(1 + -3b) + 7b = 17 (1 * 5 + -3b * 5) + 7b = 17 (5 + -15b) + 7b = 17 Combine like terms: -15b + 7b = -8b 5 + -8b = 17 Solving 5 + -8b = 17 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8b = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -8b = 17 + -5 -8b = 17 + -5 Combine like terms: 17 + -5 = 12 -8b = 12 Divide each side by '-8'. b = -1.5 Simplifying b = -1.5
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