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Simplifying 11(-9b + -12) = -6 + 10(-10b + -12) Reorder the terms: 11(-12 + -9b) = -6 + 10(-10b + -12) (-12 * 11 + -9b * 11) = -6 + 10(-10b + -12) (-132 + -99b) = -6 + 10(-10b + -12) Reorder the terms: -132 + -99b = -6 + 10(-12 + -10b) -132 + -99b = -6 + (-12 * 10 + -10b * 10) -132 + -99b = -6 + (-120 + -100b) Combine like terms: -6 + -120 = -126 -132 + -99b = -126 + -100b Solving -132 + -99b = -126 + -100b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '100b' to each side of the equation. -132 + -99b + 100b = -126 + -100b + 100b Combine like terms: -99b + 100b = 1b -132 + 1b = -126 + -100b + 100b Combine like terms: -100b + 100b = 0 -132 + 1b = -126 + 0 -132 + 1b = -126 Add '132' to each side of the equation. -132 + 132 + 1b = -126 + 132 Combine like terms: -132 + 132 = 0 0 + 1b = -126 + 132 1b = -126 + 132 Combine like terms: -126 + 132 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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