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Simplifying 11b + -7(3b + -11) = 10b + -101 Reorder the terms: 11b + -7(-11 + 3b) = 10b + -101 11b + (-11 * -7 + 3b * -7) = 10b + -101 11b + (77 + -21b) = 10b + -101 Reorder the terms: 77 + 11b + -21b = 10b + -101 Combine like terms: 11b + -21b = -10b 77 + -10b = 10b + -101 Reorder the terms: 77 + -10b = -101 + 10b Solving 77 + -10b = -101 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 77 + -10b + -10b = -101 + 10b + -10b Combine like terms: -10b + -10b = -20b 77 + -20b = -101 + 10b + -10b Combine like terms: 10b + -10b = 0 77 + -20b = -101 + 0 77 + -20b = -101 Add '-77' to each side of the equation. 77 + -77 + -20b = -101 + -77 Combine like terms: 77 + -77 = 0 0 + -20b = -101 + -77 -20b = -101 + -77 Combine like terms: -101 + -77 = -178 -20b = -178 Divide each side by '-20'. b = 8.9 Simplifying b = 8.9
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