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Simplifying -7(b + 8) + 6 = -6(-6 + -6b) Reorder the terms: -7(8 + b) + 6 = -6(-6 + -6b) (8 * -7 + b * -7) + 6 = -6(-6 + -6b) (-56 + -7b) + 6 = -6(-6 + -6b) Reorder the terms: -56 + 6 + -7b = -6(-6 + -6b) Combine like terms: -56 + 6 = -50 -50 + -7b = -6(-6 + -6b) -50 + -7b = (-6 * -6 + -6b * -6) -50 + -7b = (36 + 36b) Solving -50 + -7b = 36 + 36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36b' to each side of the equation. -50 + -7b + -36b = 36 + 36b + -36b Combine like terms: -7b + -36b = -43b -50 + -43b = 36 + 36b + -36b Combine like terms: 36b + -36b = 0 -50 + -43b = 36 + 0 -50 + -43b = 36 Add '50' to each side of the equation. -50 + 50 + -43b = 36 + 50 Combine like terms: -50 + 50 = 0 0 + -43b = 36 + 50 -43b = 36 + 50 Combine like terms: 36 + 50 = 86 -43b = 86 Divide each side by '-43'. b = -2 Simplifying b = -2
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