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Simplifying 7 + b = 11(b + -3) Reorder the terms: 7 + b = 11(-3 + b) 7 + b = (-3 * 11 + b * 11) 7 + b = (-33 + 11b) Solving 7 + b = -33 + 11b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11b' to each side of the equation. 7 + b + -11b = -33 + 11b + -11b Combine like terms: b + -11b = -10b 7 + -10b = -33 + 11b + -11b Combine like terms: 11b + -11b = 0 7 + -10b = -33 + 0 7 + -10b = -33 Add '-7' to each side of the equation. 7 + -7 + -10b = -33 + -7 Combine like terms: 7 + -7 = 0 0 + -10b = -33 + -7 -10b = -33 + -7 Combine like terms: -33 + -7 = -40 -10b = -40 Divide each side by '-10'. b = 4 Simplifying b = 4
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