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Simplifying 7 + -5(2b + 2) + (11b + -5) = 0 Reorder the terms: 7 + -5(2 + 2b) + (11b + -5) = 0 7 + (2 * -5 + 2b * -5) + (11b + -5) = 0 7 + (-10 + -10b) + (11b + -5) = 0 Reorder the terms: 7 + -10 + -10b + (-5 + 11b) = 0 Remove parenthesis around (-5 + 11b) 7 + -10 + -10b + -5 + 11b = 0 Reorder the terms: 7 + -10 + -5 + -10b + 11b = 0 Combine like terms: 7 + -10 = -3 -3 + -5 + -10b + 11b = 0 Combine like terms: -3 + -5 = -8 -8 + -10b + 11b = 0 Combine like terms: -10b + 11b = 1b -8 + 1b = 0 Solving -8 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1b = 0 + 8 1b = 0 + 8 Combine like terms: 0 + 8 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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