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Simplifying 84 = 8(-5b + 2) + -2(2b + 10) Reorder the terms: 84 = 8(2 + -5b) + -2(2b + 10) 84 = (2 * 8 + -5b * 8) + -2(2b + 10) 84 = (16 + -40b) + -2(2b + 10) Reorder the terms: 84 = 16 + -40b + -2(10 + 2b) 84 = 16 + -40b + (10 * -2 + 2b * -2) 84 = 16 + -40b + (-20 + -4b) Reorder the terms: 84 = 16 + -20 + -40b + -4b Combine like terms: 16 + -20 = -4 84 = -4 + -40b + -4b Combine like terms: -40b + -4b = -44b 84 = -4 + -44b Solving 84 = -4 + -44b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '44b' to each side of the equation. 84 + 44b = -4 + -44b + 44b Combine like terms: -44b + 44b = 0 84 + 44b = -4 + 0 84 + 44b = -4 Add '-84' to each side of the equation. 84 + -84 + 44b = -4 + -84 Combine like terms: 84 + -84 = 0 0 + 44b = -4 + -84 44b = -4 + -84 Combine like terms: -4 + -84 = -88 44b = -88 Divide each side by '44'. b = -2 Simplifying b = -2
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