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Simplifying 26.5 = 6 + 4(b + 3) Reorder the terms: 26.5 = 6 + 4(3 + b) 26.5 = 6 + (3 * 4 + b * 4) 26.5 = 6 + (12 + 4b) Combine like terms: 6 + 12 = 18 26.5 = 18 + 4b Solving 26.5 = 18 + 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. 26.5 + -4b = 18 + 4b + -4b Combine like terms: 4b + -4b = 0 26.5 + -4b = 18 + 0 26.5 + -4b = 18 Add '-26.5' to each side of the equation. 26.5 + -26.5 + -4b = 18 + -26.5 Combine like terms: 26.5 + -26.5 = 0.0 0.0 + -4b = 18 + -26.5 -4b = 18 + -26.5 Combine like terms: 18 + -26.5 = -8.5 -4b = -8.5 Divide each side by '-4'. b = 2.125 Simplifying b = 2.125
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