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Simplifying 7 + -6(3 + b) = 21 + -2b 7 + (3 * -6 + b * -6) = 21 + -2b 7 + (-18 + -6b) = 21 + -2b Combine like terms: 7 + -18 = -11 -11 + -6b = 21 + -2b Solving -11 + -6b = 21 + -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. -11 + -6b + 2b = 21 + -2b + 2b Combine like terms: -6b + 2b = -4b -11 + -4b = 21 + -2b + 2b Combine like terms: -2b + 2b = 0 -11 + -4b = 21 + 0 -11 + -4b = 21 Add '11' to each side of the equation. -11 + 11 + -4b = 21 + 11 Combine like terms: -11 + 11 = 0 0 + -4b = 21 + 11 -4b = 21 + 11 Combine like terms: 21 + 11 = 32 -4b = 32 Divide each side by '-4'. b = -8 Simplifying b = -8
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