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Simplifying 6(b + -2) = 3(b + 8.5) Reorder the terms: 6(-2 + b) = 3(b + 8.5) (-2 * 6 + b * 6) = 3(b + 8.5) (-12 + 6b) = 3(b + 8.5) Reorder the terms: -12 + 6b = 3(8.5 + b) -12 + 6b = (8.5 * 3 + b * 3) -12 + 6b = (25.5 + 3b) Solving -12 + 6b = 25.5 + 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. -12 + 6b + -3b = 25.5 + 3b + -3b Combine like terms: 6b + -3b = 3b -12 + 3b = 25.5 + 3b + -3b Combine like terms: 3b + -3b = 0 -12 + 3b = 25.5 + 0 -12 + 3b = 25.5 Add '12' to each side of the equation. -12 + 12 + 3b = 25.5 + 12 Combine like terms: -12 + 12 = 0 0 + 3b = 25.5 + 12 3b = 25.5 + 12 Combine like terms: 25.5 + 12 = 37.5 3b = 37.5 Divide each side by '3'. b = 12.5 Simplifying b = 12.5
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