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Simplifying 2(b + 4) + 10 = 4b + 8 Reorder the terms: 2(4 + b) + 10 = 4b + 8 (4 * 2 + b * 2) + 10 = 4b + 8 (8 + 2b) + 10 = 4b + 8 Reorder the terms: 8 + 10 + 2b = 4b + 8 Combine like terms: 8 + 10 = 18 18 + 2b = 4b + 8 Reorder the terms: 18 + 2b = 8 + 4b Solving 18 + 2b = 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 + 2b + -4b = 8 + 4b + -4b Combine like terms: 2b + -4b = -2b 18 + -2b = 8 + 4b + -4b Combine like terms: 4b + -4b = 0 18 + -2b = 8 + 0 18 + -2b = 8 Add '-18' to each side of the equation. 18 + -18 + -2b = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -2b = 8 + -18 -2b = 8 + -18 Combine like terms: 8 + -18 = -10 -2b = -10 Divide each side by '-2'. b = 5 Simplifying b = 5
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