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Simplifying 2n + 10 = -2n + -7(5n + -7) Reorder the terms: 10 + 2n = -2n + -7(5n + -7) Reorder the terms: 10 + 2n = -2n + -7(-7 + 5n) 10 + 2n = -2n + (-7 * -7 + 5n * -7) 10 + 2n = -2n + (49 + -35n) Reorder the terms: 10 + 2n = 49 + -2n + -35n Combine like terms: -2n + -35n = -37n 10 + 2n = 49 + -37n Solving 10 + 2n = 49 + -37n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '37n' to each side of the equation. 10 + 2n + 37n = 49 + -37n + 37n Combine like terms: 2n + 37n = 39n 10 + 39n = 49 + -37n + 37n Combine like terms: -37n + 37n = 0 10 + 39n = 49 + 0 10 + 39n = 49 Add '-10' to each side of the equation. 10 + -10 + 39n = 49 + -10 Combine like terms: 10 + -10 = 0 0 + 39n = 49 + -10 39n = 49 + -10 Combine like terms: 49 + -10 = 39 39n = 39 Divide each side by '39'. n = 1 Simplifying n = 1
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