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Simplifying 37 + -2n = -8(3 + -7n) + 3n 37 + -2n = (3 * -8 + -7n * -8) + 3n 37 + -2n = (-24 + 56n) + 3n Combine like terms: 56n + 3n = 59n 37 + -2n = -24 + 59n Solving 37 + -2n = -24 + 59n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-59n' to each side of the equation. 37 + -2n + -59n = -24 + 59n + -59n Combine like terms: -2n + -59n = -61n 37 + -61n = -24 + 59n + -59n Combine like terms: 59n + -59n = 0 37 + -61n = -24 + 0 37 + -61n = -24 Add '-37' to each side of the equation. 37 + -37 + -61n = -24 + -37 Combine like terms: 37 + -37 = 0 0 + -61n = -24 + -37 -61n = -24 + -37 Combine like terms: -24 + -37 = -61 -61n = -61 Divide each side by '-61'. n = 1 Simplifying n = 1
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