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Simplifying -6(2 + -9b) = -7(-10b + 9) + b (2 * -6 + -9b * -6) = -7(-10b + 9) + b (-12 + 54b) = -7(-10b + 9) + b Reorder the terms: -12 + 54b = -7(9 + -10b) + b -12 + 54b = (9 * -7 + -10b * -7) + b -12 + 54b = (-63 + 70b) + b Combine like terms: 70b + b = 71b -12 + 54b = -63 + 71b Solving -12 + 54b = -63 + 71b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-71b' to each side of the equation. -12 + 54b + -71b = -63 + 71b + -71b Combine like terms: 54b + -71b = -17b -12 + -17b = -63 + 71b + -71b Combine like terms: 71b + -71b = 0 -12 + -17b = -63 + 0 -12 + -17b = -63 Add '12' to each side of the equation. -12 + 12 + -17b = -63 + 12 Combine like terms: -12 + 12 = 0 0 + -17b = -63 + 12 -17b = -63 + 12 Combine like terms: -63 + 12 = -51 -17b = -51 Divide each side by '-17'. b = 3 Simplifying b = 3
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