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Simplifying 4(6b + 7) = -16 + 2b Reorder the terms: 4(7 + 6b) = -16 + 2b (7 * 4 + 6b * 4) = -16 + 2b (28 + 24b) = -16 + 2b Solving 28 + 24b = -16 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 28 + 24b + -2b = -16 + 2b + -2b Combine like terms: 24b + -2b = 22b 28 + 22b = -16 + 2b + -2b Combine like terms: 2b + -2b = 0 28 + 22b = -16 + 0 28 + 22b = -16 Add '-28' to each side of the equation. 28 + -28 + 22b = -16 + -28 Combine like terms: 28 + -28 = 0 0 + 22b = -16 + -28 22b = -16 + -28 Combine like terms: -16 + -28 = -44 22b = -44 Divide each side by '22'. b = -2 Simplifying b = -2
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