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Simplifying 27.5 = -4 + 3(b + 6.5) Reorder the terms: 27.5 = -4 + 3(6.5 + b) 27.5 = -4 + (6.5 * 3 + b * 3) 27.5 = -4 + (19.5 + 3b) Combine like terms: -4 + 19.5 = 15.5 27.5 = 15.5 + 3b Solving 27.5 = 15.5 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 27.5 + -3b = 15.5 + 3b + -3b Combine like terms: 3b + -3b = 0 27.5 + -3b = 15.5 + 0 27.5 + -3b = 15.5 Add '-27.5' to each side of the equation. 27.5 + -27.5 + -3b = 15.5 + -27.5 Combine like terms: 27.5 + -27.5 = 0.0 0.0 + -3b = 15.5 + -27.5 -3b = 15.5 + -27.5 Combine like terms: 15.5 + -27.5 = -12 -3b = -12 Divide each side by '-3'. b = 4 Simplifying b = 4
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