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Simplifying 6 + -3(b + 8) = 6 + -22 Reorder the terms: 6 + -3(8 + b) = 6 + -22 6 + (8 * -3 + b * -3) = 6 + -22 6 + (-24 + -3b) = 6 + -22 Combine like terms: 6 + -24 = -18 -18 + -3b = 6 + -22 Combine like terms: 6 + -22 = -16 -18 + -3b = -16 Solving -18 + -3b = -16 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -3b = -16 + 18 Combine like terms: -18 + 18 = 0 0 + -3b = -16 + 18 -3b = -16 + 18 Combine like terms: -16 + 18 = 2 -3b = 2 Divide each side by '-3'. b = -0.6666666667 Simplifying b = -0.6666666667
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