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Simplifying 4(2b + 7) = 2(3b + -4) Reorder the terms: 4(7 + 2b) = 2(3b + -4) (7 * 4 + 2b * 4) = 2(3b + -4) (28 + 8b) = 2(3b + -4) Reorder the terms: 28 + 8b = 2(-4 + 3b) 28 + 8b = (-4 * 2 + 3b * 2) 28 + 8b = (-8 + 6b) Solving 28 + 8b = -8 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 28 + 8b + -6b = -8 + 6b + -6b Combine like terms: 8b + -6b = 2b 28 + 2b = -8 + 6b + -6b Combine like terms: 6b + -6b = 0 28 + 2b = -8 + 0 28 + 2b = -8 Add '-28' to each side of the equation. 28 + -28 + 2b = -8 + -28 Combine like terms: 28 + -28 = 0 0 + 2b = -8 + -28 2b = -8 + -28 Combine like terms: -8 + -28 = -36 2b = -36 Divide each side by '2'. b = -18 Simplifying b = -18
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