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Simplifying 2(3b + 7) = 4(4b + 1) Reorder the terms: 2(7 + 3b) = 4(4b + 1) (7 * 2 + 3b * 2) = 4(4b + 1) (14 + 6b) = 4(4b + 1) Reorder the terms: 14 + 6b = 4(1 + 4b) 14 + 6b = (1 * 4 + 4b * 4) 14 + 6b = (4 + 16b) Solving 14 + 6b = 4 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. 14 + 6b + -16b = 4 + 16b + -16b Combine like terms: 6b + -16b = -10b 14 + -10b = 4 + 16b + -16b Combine like terms: 16b + -16b = 0 14 + -10b = 4 + 0 14 + -10b = 4 Add '-14' to each side of the equation. 14 + -14 + -10b = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -10b = 4 + -14 -10b = 4 + -14 Combine like terms: 4 + -14 = -10 -10b = -10 Divide each side by '-10'. b = 1 Simplifying b = 1
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