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Simplifying 0.5(8 + 2b) + 6 = 3b (8 * 0.5 + 2b * 0.5) + 6 = 3b (4 + 1b) + 6 = 3b Reorder the terms: 4 + 6 + 1b = 3b Combine like terms: 4 + 6 = 10 10 + 1b = 3b Solving 10 + 1b = 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. 10 + 1b + -3b = 3b + -3b Combine like terms: 1b + -3b = -2b 10 + -2b = 3b + -3b Combine like terms: 3b + -3b = 0 10 + -2b = 0 Add '-10' to each side of the equation. 10 + -10 + -2b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2b = 0 + -10 -2b = 0 + -10 Combine like terms: 0 + -10 = -10 -2b = -10 Divide each side by '-2'. b = 5 Simplifying b = 5
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