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Simplifying -5b + -22 = 8 + -6(b + 6) Reorder the terms: -22 + -5b = 8 + -6(b + 6) Reorder the terms: -22 + -5b = 8 + -6(6 + b) -22 + -5b = 8 + (6 * -6 + b * -6) -22 + -5b = 8 + (-36 + -6b) Combine like terms: 8 + -36 = -28 -22 + -5b = -28 + -6b Solving -22 + -5b = -28 + -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. -22 + -5b + 6b = -28 + -6b + 6b Combine like terms: -5b + 6b = 1b -22 + 1b = -28 + -6b + 6b Combine like terms: -6b + 6b = 0 -22 + 1b = -28 + 0 -22 + 1b = -28 Add '22' to each side of the equation. -22 + 22 + 1b = -28 + 22 Combine like terms: -22 + 22 = 0 0 + 1b = -28 + 22 1b = -28 + 22 Combine like terms: -28 + 22 = -6 1b = -6 Divide each side by '1'. b = -6 Simplifying b = -6
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