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Simplifying 5(7b + -3) = -16 + -6b Reorder the terms: 5(-3 + 7b) = -16 + -6b (-3 * 5 + 7b * 5) = -16 + -6b (-15 + 35b) = -16 + -6b Solving -15 + 35b = -16 + -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. -15 + 35b + 6b = -16 + -6b + 6b Combine like terms: 35b + 6b = 41b -15 + 41b = -16 + -6b + 6b Combine like terms: -6b + 6b = 0 -15 + 41b = -16 + 0 -15 + 41b = -16 Add '15' to each side of the equation. -15 + 15 + 41b = -16 + 15 Combine like terms: -15 + 15 = 0 0 + 41b = -16 + 15 41b = -16 + 15 Combine like terms: -16 + 15 = -1 41b = -1 Divide each side by '41'. b = -0.0243902439 Simplifying b = -0.0243902439
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