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Simplifying 2(b + -7) = 5(b + 3) + -11 Reorder the terms: 2(-7 + b) = 5(b + 3) + -11 (-7 * 2 + b * 2) = 5(b + 3) + -11 (-14 + 2b) = 5(b + 3) + -11 Reorder the terms: -14 + 2b = 5(3 + b) + -11 -14 + 2b = (3 * 5 + b * 5) + -11 -14 + 2b = (15 + 5b) + -11 Reorder the terms: -14 + 2b = 15 + -11 + 5b Combine like terms: 15 + -11 = 4 -14 + 2b = 4 + 5b Solving -14 + 2b = 4 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -14 + 2b + -5b = 4 + 5b + -5b Combine like terms: 2b + -5b = -3b -14 + -3b = 4 + 5b + -5b Combine like terms: 5b + -5b = 0 -14 + -3b = 4 + 0 -14 + -3b = 4 Add '14' to each side of the equation. -14 + 14 + -3b = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -3b = 4 + 14 -3b = 4 + 14 Combine like terms: 4 + 14 = 18 -3b = 18 Divide each side by '-3'. b = -6 Simplifying b = -6
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