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Simplifying 11b + -35 = 5 + 7(b + -8) Reorder the terms: -35 + 11b = 5 + 7(b + -8) Reorder the terms: -35 + 11b = 5 + 7(-8 + b) -35 + 11b = 5 + (-8 * 7 + b * 7) -35 + 11b = 5 + (-56 + 7b) Combine like terms: 5 + -56 = -51 -35 + 11b = -51 + 7b Solving -35 + 11b = -51 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -35 + 11b + -7b = -51 + 7b + -7b Combine like terms: 11b + -7b = 4b -35 + 4b = -51 + 7b + -7b Combine like terms: 7b + -7b = 0 -35 + 4b = -51 + 0 -35 + 4b = -51 Add '35' to each side of the equation. -35 + 35 + 4b = -51 + 35 Combine like terms: -35 + 35 = 0 0 + 4b = -51 + 35 4b = -51 + 35 Combine like terms: -51 + 35 = -16 4b = -16 Divide each side by '4'. b = -4 Simplifying b = -4
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