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Simplifying -11 + b = -4b + -8(4b + 6) Reorder the terms: -11 + b = -4b + -8(6 + 4b) -11 + b = -4b + (6 * -8 + 4b * -8) -11 + b = -4b + (-48 + -32b) Reorder the terms: -11 + b = -48 + -4b + -32b Combine like terms: -4b + -32b = -36b -11 + b = -48 + -36b Solving -11 + b = -48 + -36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36b' to each side of the equation. -11 + b + 36b = -48 + -36b + 36b Combine like terms: b + 36b = 37b -11 + 37b = -48 + -36b + 36b Combine like terms: -36b + 36b = 0 -11 + 37b = -48 + 0 -11 + 37b = -48 Add '11' to each side of the equation. -11 + 11 + 37b = -48 + 11 Combine like terms: -11 + 11 = 0 0 + 37b = -48 + 11 37b = -48 + 11 Combine like terms: -48 + 11 = -37 37b = -37 Divide each side by '37'. b = -1 Simplifying b = -1
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