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Simplifying 3(b + 6) = 4b + 8 Reorder the terms: 3(6 + b) = 4b + 8 (6 * 3 + b * 3) = 4b + 8 (18 + 3b) = 4b + 8 Reorder the terms: 18 + 3b = 8 + 4b Solving 18 + 3b = 8 + 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. 18 + 3b + -4b = 8 + 4b + -4b Combine like terms: 3b + -4b = -1b 18 + -1b = 8 + 4b + -4b Combine like terms: 4b + -4b = 0 18 + -1b = 8 + 0 18 + -1b = 8 Add '-18' to each side of the equation. 18 + -18 + -1b = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -1b = 8 + -18 -1b = 8 + -18 Combine like terms: 8 + -18 = -10 -1b = -10 Divide each side by '-1'. b = 10 Simplifying b = 10
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