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Simplifying 5b + 3 = 9b + -1(17) Reorder the terms: 3 + 5b = 9b + -1(17) Multiply -1 * 17 3 + 5b = 9b + -17 Reorder the terms: 3 + 5b = -17 + 9b Solving 3 + 5b = -17 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 3 + 5b + -9b = -17 + 9b + -9b Combine like terms: 5b + -9b = -4b 3 + -4b = -17 + 9b + -9b Combine like terms: 9b + -9b = 0 3 + -4b = -17 + 0 3 + -4b = -17 Add '-3' to each side of the equation. 3 + -3 + -4b = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -4b = -17 + -3 -4b = -17 + -3 Combine like terms: -17 + -3 = -20 -4b = -20 Divide each side by '-4'. b = 5 Simplifying b = 5
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