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Simplifying -30 + 5b = -6(b + -6) Reorder the terms: -30 + 5b = -6(-6 + b) -30 + 5b = (-6 * -6 + b * -6) -30 + 5b = (36 + -6b) Solving -30 + 5b = 36 + -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. -30 + 5b + 6b = 36 + -6b + 6b Combine like terms: 5b + 6b = 11b -30 + 11b = 36 + -6b + 6b Combine like terms: -6b + 6b = 0 -30 + 11b = 36 + 0 -30 + 11b = 36 Add '30' to each side of the equation. -30 + 30 + 11b = 36 + 30 Combine like terms: -30 + 30 = 0 0 + 11b = 36 + 30 11b = 36 + 30 Combine like terms: 36 + 30 = 66 11b = 66 Divide each side by '11'. b = 6 Simplifying b = 6
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