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Simplifying -77 = -5(6b + 7) + 6(4 + -6b) Reorder the terms: -77 = -5(7 + 6b) + 6(4 + -6b) -77 = (7 * -5 + 6b * -5) + 6(4 + -6b) -77 = (-35 + -30b) + 6(4 + -6b) -77 = -35 + -30b + (4 * 6 + -6b * 6) -77 = -35 + -30b + (24 + -36b) Reorder the terms: -77 = -35 + 24 + -30b + -36b Combine like terms: -35 + 24 = -11 -77 = -11 + -30b + -36b Combine like terms: -30b + -36b = -66b -77 = -11 + -66b Solving -77 = -11 + -66b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '66b' to each side of the equation. -77 + 66b = -11 + -66b + 66b Combine like terms: -66b + 66b = 0 -77 + 66b = -11 + 0 -77 + 66b = -11 Add '77' to each side of the equation. -77 + 77 + 66b = -11 + 77 Combine like terms: -77 + 77 = 0 0 + 66b = -11 + 77 66b = -11 + 77 Combine like terms: -11 + 77 = 66 66b = 66 Divide each side by '66'. b = 1 Simplifying b = 1
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