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Simplifying 6(7b + -5) = -100 Reorder the terms: 6(-5 + 7b) = -100 (-5 * 6 + 7b * 6) = -100 (-30 + 42b) = -100 Solving -30 + 42b = -100 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 42b = -100 + 30 Combine like terms: -30 + 30 = 0 0 + 42b = -100 + 30 42b = -100 + 30 Combine like terms: -100 + 30 = -70 42b = -70 Divide each side by '42'. b = -1.666666667 Simplifying b = -1.666666667
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