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Simplifying 3(b + -7) = -8 + -1(7 + -1b) Reorder the terms: 3(-7 + b) = -8 + -1(7 + -1b) (-7 * 3 + b * 3) = -8 + -1(7 + -1b) (-21 + 3b) = -8 + -1(7 + -1b) -21 + 3b = -8 + (7 * -1 + -1b * -1) -21 + 3b = -8 + (-7 + 1b) Combine like terms: -8 + -7 = -15 -21 + 3b = -15 + 1b Solving -21 + 3b = -15 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -21 + 3b + -1b = -15 + 1b + -1b Combine like terms: 3b + -1b = 2b -21 + 2b = -15 + 1b + -1b Combine like terms: 1b + -1b = 0 -21 + 2b = -15 + 0 -21 + 2b = -15 Add '21' to each side of the equation. -21 + 21 + 2b = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 2b = -15 + 21 2b = -15 + 21 Combine like terms: -15 + 21 = 6 2b = 6 Divide each side by '2'. b = 3 Simplifying b = 3
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