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Simplifying -24 = 6(5b + -2) + -8(8b + -7) Reorder the terms: -24 = 6(-2 + 5b) + -8(8b + -7) -24 = (-2 * 6 + 5b * 6) + -8(8b + -7) -24 = (-12 + 30b) + -8(8b + -7) Reorder the terms: -24 = -12 + 30b + -8(-7 + 8b) -24 = -12 + 30b + (-7 * -8 + 8b * -8) -24 = -12 + 30b + (56 + -64b) Reorder the terms: -24 = -12 + 56 + 30b + -64b Combine like terms: -12 + 56 = 44 -24 = 44 + 30b + -64b Combine like terms: 30b + -64b = -34b -24 = 44 + -34b Solving -24 = 44 + -34b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '34b' to each side of the equation. -24 + 34b = 44 + -34b + 34b Combine like terms: -34b + 34b = 0 -24 + 34b = 44 + 0 -24 + 34b = 44 Add '24' to each side of the equation. -24 + 24 + 34b = 44 + 24 Combine like terms: -24 + 24 = 0 0 + 34b = 44 + 24 34b = 44 + 24 Combine like terms: 44 + 24 = 68 34b = 68 Divide each side by '34'. b = 2 Simplifying b = 2
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