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Simplifying -11 + 4b = -7(8b + -7) Reorder the terms: -11 + 4b = -7(-7 + 8b) -11 + 4b = (-7 * -7 + 8b * -7) -11 + 4b = (49 + -56b) Solving -11 + 4b = 49 + -56b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '56b' to each side of the equation. -11 + 4b + 56b = 49 + -56b + 56b Combine like terms: 4b + 56b = 60b -11 + 60b = 49 + -56b + 56b Combine like terms: -56b + 56b = 0 -11 + 60b = 49 + 0 -11 + 60b = 49 Add '11' to each side of the equation. -11 + 11 + 60b = 49 + 11 Combine like terms: -11 + 11 = 0 0 + 60b = 49 + 11 60b = 49 + 11 Combine like terms: 49 + 11 = 60 60b = 60 Divide each side by '60'. b = 1 Simplifying b = 1
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