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Simplifying 5(b + -7) = 6(b + 8) Reorder the terms: 5(-7 + b) = 6(b + 8) (-7 * 5 + b * 5) = 6(b + 8) (-35 + 5b) = 6(b + 8) Reorder the terms: -35 + 5b = 6(8 + b) -35 + 5b = (8 * 6 + b * 6) -35 + 5b = (48 + 6b) Solving -35 + 5b = 48 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -35 + 5b + -6b = 48 + 6b + -6b Combine like terms: 5b + -6b = -1b -35 + -1b = 48 + 6b + -6b Combine like terms: 6b + -6b = 0 -35 + -1b = 48 + 0 -35 + -1b = 48 Add '35' to each side of the equation. -35 + 35 + -1b = 48 + 35 Combine like terms: -35 + 35 = 0 0 + -1b = 48 + 35 -1b = 48 + 35 Combine like terms: 48 + 35 = 83 -1b = 83 Divide each side by '-1'. b = -83 Simplifying b = -83
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