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Simplifying -5(b + -10) + 3(b + 3) = -71 Reorder the terms: -5(-10 + b) + 3(b + 3) = -71 (-10 * -5 + b * -5) + 3(b + 3) = -71 (50 + -5b) + 3(b + 3) = -71 Reorder the terms: 50 + -5b + 3(3 + b) = -71 50 + -5b + (3 * 3 + b * 3) = -71 50 + -5b + (9 + 3b) = -71 Reorder the terms: 50 + 9 + -5b + 3b = -71 Combine like terms: 50 + 9 = 59 59 + -5b + 3b = -71 Combine like terms: -5b + 3b = -2b 59 + -2b = -71 Solving 59 + -2b = -71 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + -2b = -71 + -59 Combine like terms: 59 + -59 = 0 0 + -2b = -71 + -59 -2b = -71 + -59 Combine like terms: -71 + -59 = -130 -2b = -130 Divide each side by '-2'. b = 65 Simplifying b = 65
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