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Simplifying 6(7b + -5) = (-114) Reorder the terms: 6(-5 + 7b) = (-114) (-5 * 6 + 7b * 6) = (-114) (-30 + 42b) = (-114) -30 + 42b = -114 Solving -30 + 42b = -114 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 = -114 + 30 Combine like terms: -30 + 30 = 0 0 + 42b = -114 + 30 42b = -114 + 30 Combine like terms: -114 + 30 = -84 42b = -84 Divide each side by '42'. b = -2 Simplifying b = -2
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