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Simplifying 17b + 4.6 = 26(b + -1) Reorder the terms: 4.6 + 17b = 26(b + -1) Reorder the terms: 4.6 + 17b = 26(-1 + b) 4.6 + 17b = (-1 * 26 + b * 26) 4.6 + 17b = (-26 + 26b) Solving 4.6 + 17b = -26 + 26b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-26b' to each side of the equation. 4.6 + 17b + -26b = -26 + 26b + -26b Combine like terms: 17b + -26b = -9b 4.6 + -9b = -26 + 26b + -26b Combine like terms: 26b + -26b = 0 4.6 + -9b = -26 + 0 4.6 + -9b = -26 Add '-4.6' to each side of the equation. 4.6 + -4.6 + -9b = -26 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + -9b = -26 + -4.6 -9b = -26 + -4.6 Combine like terms: -26 + -4.6 = -30.6 -9b = -30.6 Divide each side by '-9'. b = 3.4 Simplifying b = 3.4
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