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Simplifying -7(n + 7) + -1(2n + -3) = -10n Reorder the terms: -7(7 + n) + -1(2n + -3) = -10n (7 * -7 + n * -7) + -1(2n + -3) = -10n (-49 + -7n) + -1(2n + -3) = -10n Reorder the terms: -49 + -7n + -1(-3 + 2n) = -10n -49 + -7n + (-3 * -1 + 2n * -1) = -10n -49 + -7n + (3 + -2n) = -10n Reorder the terms: -49 + 3 + -7n + -2n = -10n Combine like terms: -49 + 3 = -46 -46 + -7n + -2n = -10n Combine like terms: -7n + -2n = -9n -46 + -9n = -10n Solving -46 + -9n = -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -46 + -9n + 10n = -10n + 10n Combine like terms: -9n + 10n = 1n -46 + 1n = -10n + 10n Combine like terms: -10n + 10n = 0 -46 + 1n = 0 Add '46' to each side of the equation. -46 + 46 + 1n = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 1n = 0 + 46 1n = 0 + 46 Combine like terms: 0 + 46 = 46 1n = 46 Divide each side by '1'. n = 46 Simplifying n = 46
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