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Simplifying 10(10 + -7n) = -2n + -36 (10 * 10 + -7n * 10) = -2n + -36 (100 + -70n) = -2n + -36 Reorder the terms: 100 + -70n = -36 + -2n Solving 100 + -70n = -36 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 100 + -70n + 2n = -36 + -2n + 2n Combine like terms: -70n + 2n = -68n 100 + -68n = -36 + -2n + 2n Combine like terms: -2n + 2n = 0 100 + -68n = -36 + 0 100 + -68n = -36 Add '-100' to each side of the equation. 100 + -100 + -68n = -36 + -100 Combine like terms: 100 + -100 = 0 0 + -68n = -36 + -100 -68n = -36 + -100 Combine like terms: -36 + -100 = -136 -68n = -136 Divide each side by '-68'. n = 2 Simplifying n = 2
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