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Simplifying 6 + -3(b + 8) = b + -22 Reorder the terms: 6 + -3(8 + b) = b + -22 6 + (8 * -3 + b * -3) = b + -22 6 + (-24 + -3b) = b + -22 Combine like terms: 6 + -24 = -18 -18 + -3b = b + -22 Reorder the terms: -18 + -3b = -22 + b Solving -18 + -3b = -22 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -18 + -3b + -1b = -22 + b + -1b Combine like terms: -3b + -1b = -4b -18 + -4b = -22 + b + -1b Combine like terms: b + -1b = 0 -18 + -4b = -22 + 0 -18 + -4b = -22 Add '18' to each side of the equation. -18 + 18 + -4b = -22 + 18 Combine like terms: -18 + 18 = 0 0 + -4b = -22 + 18 -4b = -22 + 18 Combine like terms: -22 + 18 = -4 -4b = -4 Divide each side by '-4'. b = 1 Simplifying b = 1
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