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Simplifying 2n + -7(3 + b) = b + 3 2n + (3 * -7 + b * -7) = b + 3 2n + (-21 + -7b) = b + 3 Reorder the terms: -21 + -7b + 2n = b + 3 Reorder the terms: -21 + -7b + 2n = 3 + b Solving -21 + -7b + 2n = 3 + b 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 + -7b + -1b + 2n = 3 + b + -1b Combine like terms: -7b + -1b = -8b -21 + -8b + 2n = 3 + b + -1b Combine like terms: b + -1b = 0 -21 + -8b + 2n = 3 + 0 -21 + -8b + 2n = 3 Add '21' to each side of the equation. -21 + -8b + 21 + 2n = 3 + 21 Reorder the terms: -21 + 21 + -8b + 2n = 3 + 21 Combine like terms: -21 + 21 = 0 0 + -8b + 2n = 3 + 21 -8b + 2n = 3 + 21 Combine like terms: 3 + 21 = 24 -8b + 2n = 24 Add '-2n' to each side of the equation. -8b + 2n + -2n = 24 + -2n Combine like terms: 2n + -2n = 0 -8b + 0 = 24 + -2n -8b = 24 + -2n Divide each side by '-8'. b = -3 + 0.25n Simplifying b = -3 + 0.25n
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