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Simplifying 7(-1b + 6) = -7(-1b + -8) Reorder the terms: 7(6 + -1b) = -7(-1b + -8) (6 * 7 + -1b * 7) = -7(-1b + -8) (42 + -7b) = -7(-1b + -8) Reorder the terms: 42 + -7b = -7(-8 + -1b) 42 + -7b = (-8 * -7 + -1b * -7) 42 + -7b = (56 + 7b) Solving 42 + -7b = 56 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 42 + -7b + -7b = 56 + 7b + -7b Combine like terms: -7b + -7b = -14b 42 + -14b = 56 + 7b + -7b Combine like terms: 7b + -7b = 0 42 + -14b = 56 + 0 42 + -14b = 56 Add '-42' to each side of the equation. 42 + -42 + -14b = 56 + -42 Combine like terms: 42 + -42 = 0 0 + -14b = 56 + -42 -14b = 56 + -42 Combine like terms: 56 + -42 = 14 -14b = 14 Divide each side by '-14'. b = -1 Simplifying b = -1
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