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Simplifying 10 + -1(11 + 2b) = 5b + 5(11 + -3b) 10 + (11 * -1 + 2b * -1) = 5b + 5(11 + -3b) 10 + (-11 + -2b) = 5b + 5(11 + -3b) Combine like terms: 10 + -11 = -1 -1 + -2b = 5b + 5(11 + -3b) -1 + -2b = 5b + (11 * 5 + -3b * 5) -1 + -2b = 5b + (55 + -15b) Reorder the terms: -1 + -2b = 55 + 5b + -15b Combine like terms: 5b + -15b = -10b -1 + -2b = 55 + -10b Solving -1 + -2b = 55 + -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. -1 + -2b + 10b = 55 + -10b + 10b Combine like terms: -2b + 10b = 8b -1 + 8b = 55 + -10b + 10b Combine like terms: -10b + 10b = 0 -1 + 8b = 55 + 0 -1 + 8b = 55 Add '1' to each side of the equation. -1 + 1 + 8b = 55 + 1 Combine like terms: -1 + 1 = 0 0 + 8b = 55 + 1 8b = 55 + 1 Combine like terms: 55 + 1 = 56 8b = 56 Divide each side by '8'. b = 7 Simplifying b = 7
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