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Simplifying 6(1 + -6b) + -8(6b + -7) = 0 (1 * 6 + -6b * 6) + -8(6b + -7) = 0 (6 + -36b) + -8(6b + -7) = 0 Reorder the terms: 6 + -36b + -8(-7 + 6b) = 0 6 + -36b + (-7 * -8 + 6b * -8) = 0 6 + -36b + (56 + -48b) = 0 Reorder the terms: 6 + 56 + -36b + -48b = 0 Combine like terms: 6 + 56 = 62 62 + -36b + -48b = 0 Combine like terms: -36b + -48b = -84b 62 + -84b = 0 Solving 62 + -84b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -84b = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -84b = 0 + -62 -84b = 0 + -62 Combine like terms: 0 + -62 = -62 -84b = -62 Divide each side by '-84'. b = 0.7380952381 Simplifying b = 0.7380952381
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