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Simplifying 6(-1b + -5) = -22 + -7b Reorder the terms: 6(-5 + -1b) = -22 + -7b (-5 * 6 + -1b * 6) = -22 + -7b (-30 + -6b) = -22 + -7b Solving -30 + -6b = -22 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -30 + -6b + 7b = -22 + -7b + 7b Combine like terms: -6b + 7b = 1b -30 + 1b = -22 + -7b + 7b Combine like terms: -7b + 7b = 0 -30 + 1b = -22 + 0 -30 + 1b = -22 Add '30' to each side of the equation. -30 + 30 + 1b = -22 + 30 Combine like terms: -30 + 30 = 0 0 + 1b = -22 + 30 1b = -22 + 30 Combine like terms: -22 + 30 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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