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Simplifying 14(b + 2) = 18b Reorder the terms: 14(2 + b) = 18b (2 * 14 + b * 14) = 18b (28 + 14b) = 18b Solving 28 + 14b = 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. 28 + 14b + -18b = 18b + -18b Combine like terms: 14b + -18b = -4b 28 + -4b = 18b + -18b Combine like terms: 18b + -18b = 0 28 + -4b = 0 Add '-28' to each side of the equation. 28 + -28 + -4b = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -4b = 0 + -28 -4b = 0 + -28 Combine like terms: 0 + -28 = -28 -4b = -28 Divide each side by '-4'. b = 7 Simplifying b = 7
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