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Simplifying 50 + -14(b + -3) = -6(b + 10) Reorder the terms: 50 + -14(-3 + b) = -6(b + 10) 50 + (-3 * -14 + b * -14) = -6(b + 10) 50 + (42 + -14b) = -6(b + 10) Combine like terms: 50 + 42 = 92 92 + -14b = -6(b + 10) Reorder the terms: 92 + -14b = -6(10 + b) 92 + -14b = (10 * -6 + b * -6) 92 + -14b = (-60 + -6b) Solving 92 + -14b = -60 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 92 + -14b + 6b = -60 + -6b + 6b Combine like terms: -14b + 6b = -8b 92 + -8b = -60 + -6b + 6b Combine like terms: -6b + 6b = 0 92 + -8b = -60 + 0 92 + -8b = -60 Add '-92' to each side of the equation. 92 + -92 + -8b = -60 + -92 Combine like terms: 92 + -92 = 0 0 + -8b = -60 + -92 -8b = -60 + -92 Combine like terms: -60 + -92 = -152 -8b = -152 Divide each side by '-8'. b = 19 Simplifying b = 19
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