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Simplifying -14(17 + -16b) = -14(16b + -15) (17 * -14 + -16b * -14) = -14(16b + -15) (-238 + 224b) = -14(16b + -15) Reorder the terms: -238 + 224b = -14(-15 + 16b) -238 + 224b = (-15 * -14 + 16b * -14) -238 + 224b = (210 + -224b) Solving -238 + 224b = 210 + -224b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '224b' to each side of the equation. -238 + 224b + 224b = 210 + -224b + 224b Combine like terms: 224b + 224b = 448b -238 + 448b = 210 + -224b + 224b Combine like terms: -224b + 224b = 0 -238 + 448b = 210 + 0 -238 + 448b = 210 Add '238' to each side of the equation. -238 + 238 + 448b = 210 + 238 Combine like terms: -238 + 238 = 0 0 + 448b = 210 + 238 448b = 210 + 238 Combine like terms: 210 + 238 = 448 448b = 448 Divide each side by '448'. b = 1 Simplifying b = 1
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