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Simplifying 7(n + -10) = -7n + -6(1 + 3n) Reorder the terms: 7(-10 + n) = -7n + -6(1 + 3n) (-10 * 7 + n * 7) = -7n + -6(1 + 3n) (-70 + 7n) = -7n + -6(1 + 3n) -70 + 7n = -7n + (1 * -6 + 3n * -6) -70 + 7n = -7n + (-6 + -18n) Reorder the terms: -70 + 7n = -6 + -7n + -18n Combine like terms: -7n + -18n = -25n -70 + 7n = -6 + -25n Solving -70 + 7n = -6 + -25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '25n' to each side of the equation. -70 + 7n + 25n = -6 + -25n + 25n Combine like terms: 7n + 25n = 32n -70 + 32n = -6 + -25n + 25n Combine like terms: -25n + 25n = 0 -70 + 32n = -6 + 0 -70 + 32n = -6 Add '70' to each side of the equation. -70 + 70 + 32n = -6 + 70 Combine like terms: -70 + 70 = 0 0 + 32n = -6 + 70 32n = -6 + 70 Combine like terms: -6 + 70 = 64 32n = 64 Divide each side by '32'. n = 2 Simplifying n = 2
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