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Simplifying 5b + 2(4b + 3) = -59 Reorder the terms: 5b + 2(3 + 4b) = -59 5b + (3 * 2 + 4b * 2) = -59 5b + (6 + 8b) = -59 Reorder the terms: 6 + 5b + 8b = -59 Combine like terms: 5b + 8b = 13b 6 + 13b = -59 Solving 6 + 13b = -59 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 13b = -59 + -6 Combine like terms: 6 + -6 = 0 0 + 13b = -59 + -6 13b = -59 + -6 Combine like terms: -59 + -6 = -65 13b = -65 Divide each side by '13'. b = -5 Simplifying b = -5
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