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Simplifying 5b + -30 = -5(1 + -6b) Reorder the terms: -30 + 5b = -5(1 + -6b) -30 + 5b = (1 * -5 + -6b * -5) -30 + 5b = (-5 + 30b) Solving -30 + 5b = -5 + 30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30b' to each side of the equation. -30 + 5b + -30b = -5 + 30b + -30b Combine like terms: 5b + -30b = -25b -30 + -25b = -5 + 30b + -30b Combine like terms: 30b + -30b = 0 -30 + -25b = -5 + 0 -30 + -25b = -5 Add '30' to each side of the equation. -30 + 30 + -25b = -5 + 30 Combine like terms: -30 + 30 = 0 0 + -25b = -5 + 30 -25b = -5 + 30 Combine like terms: -5 + 30 = 25 -25b = 25 Divide each side by '-25'. b = -1 Simplifying b = -1
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