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Simplifying -8b + -1(3b + -11) = 4(b + -7) + -1(-39) Reorder the terms: -8b + -1(-11 + 3b) = 4(b + -7) + -1(-39) -8b + (-11 * -1 + 3b * -1) = 4(b + -7) + -1(-39) -8b + (11 + -3b) = 4(b + -7) + -1(-39) Reorder the terms: 11 + -8b + -3b = 4(b + -7) + -1(-39) Combine like terms: -8b + -3b = -11b 11 + -11b = 4(b + -7) + -1(-39) Reorder the terms: 11 + -11b = 4(-7 + b) + -1(-39) 11 + -11b = (-7 * 4 + b * 4) + -1(-39) 11 + -11b = (-28 + 4b) + -1(-39) Multiply -1 * -39 11 + -11b = -28 + 4b + 39 Reorder the terms: 11 + -11b = -28 + 39 + 4b Combine like terms: -28 + 39 = 11 11 + -11b = 11 + 4b Add '-11' to each side of the equation. 11 + -11 + -11b = 11 + -11 + 4b Combine like terms: 11 + -11 = 0 0 + -11b = 11 + -11 + 4b -11b = 11 + -11 + 4b Combine like terms: 11 + -11 = 0 -11b = 0 + 4b -11b = 4b Solving -11b = 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -11b + -4b = 4b + -4b Combine like terms: -11b + -4b = -15b -15b = 4b + -4b Combine like terms: 4b + -4b = 0 -15b = 0 Divide each side by '-15'. b = 0 Simplifying b = 0
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