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Simplifying -7(10b + 10) + 9(b + -9) = 12b + 2 + -7 Reorder the terms: -7(10 + 10b) + 9(b + -9) = 12b + 2 + -7 (10 * -7 + 10b * -7) + 9(b + -9) = 12b + 2 + -7 (-70 + -70b) + 9(b + -9) = 12b + 2 + -7 Reorder the terms: -70 + -70b + 9(-9 + b) = 12b + 2 + -7 -70 + -70b + (-9 * 9 + b * 9) = 12b + 2 + -7 -70 + -70b + (-81 + 9b) = 12b + 2 + -7 Reorder the terms: -70 + -81 + -70b + 9b = 12b + 2 + -7 Combine like terms: -70 + -81 = -151 -151 + -70b + 9b = 12b + 2 + -7 Combine like terms: -70b + 9b = -61b -151 + -61b = 12b + 2 + -7 Reorder the terms: -151 + -61b = 2 + -7 + 12b Combine like terms: 2 + -7 = -5 -151 + -61b = -5 + 12b Solving -151 + -61b = -5 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -151 + -61b + -12b = -5 + 12b + -12b Combine like terms: -61b + -12b = -73b -151 + -73b = -5 + 12b + -12b Combine like terms: 12b + -12b = 0 -151 + -73b = -5 + 0 -151 + -73b = -5 Add '151' to each side of the equation. -151 + 151 + -73b = -5 + 151 Combine like terms: -151 + 151 = 0 0 + -73b = -5 + 151 -73b = -5 + 151 Combine like terms: -5 + 151 = 146 -73b = 146 Divide each side by '-73'. b = -2 Simplifying b = -2
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