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Simplifying (11b + -2) + -5(2b + 2) = -7 Reorder the terms: (-2 + 11b) + -5(2b + 2) = -7 Remove parenthesis around (-2 + 11b) -2 + 11b + -5(2b + 2) = -7 Reorder the terms: -2 + 11b + -5(2 + 2b) = -7 -2 + 11b + (2 * -5 + 2b * -5) = -7 -2 + 11b + (-10 + -10b) = -7 Reorder the terms: -2 + -10 + 11b + -10b = -7 Combine like terms: -2 + -10 = -12 -12 + 11b + -10b = -7 Combine like terms: 11b + -10b = 1b -12 + 1b = -7 Solving -12 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1b = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = -7 + 12 1b = -7 + 12 Combine like terms: -7 + 12 = 5 1b = 5 Divide each side by '1'. b = 5 Simplifying b = 5
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