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Simplifying 6(b + -7) = -30 + 2b Reorder the terms: 6(-7 + b) = -30 + 2b (-7 * 6 + b * 6) = -30 + 2b (-42 + 6b) = -30 + 2b Solving -42 + 6b = -30 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -42 + 6b + -2b = -30 + 2b + -2b Combine like terms: 6b + -2b = 4b -42 + 4b = -30 + 2b + -2b Combine like terms: 2b + -2b = 0 -42 + 4b = -30 + 0 -42 + 4b = -30 Add '42' to each side of the equation. -42 + 42 + 4b = -30 + 42 Combine like terms: -42 + 42 = 0 0 + 4b = -30 + 42 4b = -30 + 42 Combine like terms: -30 + 42 = 12 4b = 12 Divide each side by '4'. b = 3 Simplifying b = 3
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