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Simplifying -6b + -30 = 2(1 + -5b) Reorder the terms: -30 + -6b = 2(1 + -5b) -30 + -6b = (1 * 2 + -5b * 2) -30 + -6b = (2 + -10b) Solving -30 + -6b = 2 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. -30 + -6b + 10b = 2 + -10b + 10b Combine like terms: -6b + 10b = 4b -30 + 4b = 2 + -10b + 10b Combine like terms: -10b + 10b = 0 -30 + 4b = 2 + 0 -30 + 4b = 2 Add '30' to each side of the equation. -30 + 30 + 4b = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 4b = 2 + 30 4b = 2 + 30 Combine like terms: 2 + 30 = 32 4b = 32 Divide each side by '4'. b = 8 Simplifying b = 8
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