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Simplifying 3(7b + -7) = 2b + -40 Reorder the terms: 3(-7 + 7b) = 2b + -40 (-7 * 3 + 7b * 3) = 2b + -40 (-21 + 21b) = 2b + -40 Reorder the terms: -21 + 21b = -40 + 2b Solving -21 + 21b = -40 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -21 + 21b + -2b = -40 + 2b + -2b Combine like terms: 21b + -2b = 19b -21 + 19b = -40 + 2b + -2b Combine like terms: 2b + -2b = 0 -21 + 19b = -40 + 0 -21 + 19b = -40 Add '21' to each side of the equation. -21 + 21 + 19b = -40 + 21 Combine like terms: -21 + 21 = 0 0 + 19b = -40 + 21 19b = -40 + 21 Combine like terms: -40 + 21 = -19 19b = -19 Divide each side by '19'. b = -1 Simplifying b = -1
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