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Simplifying 4(b + 10) + -14 = 6(-4) Reorder the terms: 4(10 + b) + -14 = 6(-4) (10 * 4 + b * 4) + -14 = 6(-4) (40 + 4b) + -14 = 6(-4) Reorder the terms: 40 + -14 + 4b = 6(-4) Combine like terms: 40 + -14 = 26 26 + 4b = 6(-4) Multiply 6 * -4 26 + 4b = -24 Solving 26 + 4b = -24 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 4b = -24 + -26 Combine like terms: 26 + -26 = 0 0 + 4b = -24 + -26 4b = -24 + -26 Combine like terms: -24 + -26 = -50 4b = -50 Divide each side by '4'. b = -12.5 Simplifying b = -12.5
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