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Simplifying 5(2n + -6) + -7(n + 7) = 4n Reorder the terms: 5(-6 + 2n) + -7(n + 7) = 4n (-6 * 5 + 2n * 5) + -7(n + 7) = 4n (-30 + 10n) + -7(n + 7) = 4n Reorder the terms: -30 + 10n + -7(7 + n) = 4n -30 + 10n + (7 * -7 + n * -7) = 4n -30 + 10n + (-49 + -7n) = 4n Reorder the terms: -30 + -49 + 10n + -7n = 4n Combine like terms: -30 + -49 = -79 -79 + 10n + -7n = 4n Combine like terms: 10n + -7n = 3n -79 + 3n = 4n Solving -79 + 3n = 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -79 + 3n + -4n = 4n + -4n Combine like terms: 3n + -4n = -1n -79 + -1n = 4n + -4n Combine like terms: 4n + -4n = 0 -79 + -1n = 0 Add '79' to each side of the equation. -79 + 79 + -1n = 0 + 79 Combine like terms: -79 + 79 = 0 0 + -1n = 0 + 79 -1n = 0 + 79 Combine like terms: 0 + 79 = 79 -1n = 79 Divide each side by '-1'. n = -79 Simplifying n = -79
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