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Simplifying 7(2b + 4) + -8 = -2(5 + -6b) Reorder the terms: 7(4 + 2b) + -8 = -2(5 + -6b) (4 * 7 + 2b * 7) + -8 = -2(5 + -6b) (28 + 14b) + -8 = -2(5 + -6b) Reorder the terms: 28 + -8 + 14b = -2(5 + -6b) Combine like terms: 28 + -8 = 20 20 + 14b = -2(5 + -6b) 20 + 14b = (5 * -2 + -6b * -2) 20 + 14b = (-10 + 12b) Solving 20 + 14b = -10 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 20 + 14b + -12b = -10 + 12b + -12b Combine like terms: 14b + -12b = 2b 20 + 2b = -10 + 12b + -12b Combine like terms: 12b + -12b = 0 20 + 2b = -10 + 0 20 + 2b = -10 Add '-20' to each side of the equation. 20 + -20 + 2b = -10 + -20 Combine like terms: 20 + -20 = 0 0 + 2b = -10 + -20 2b = -10 + -20 Combine like terms: -10 + -20 = -30 2b = -30 Divide each side by '2'. b = -15 Simplifying b = -15
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