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Simplifying -1n + 7(n + -4) = -2(5n + -2) Reorder the terms: -1n + 7(-4 + n) = -2(5n + -2) -1n + (-4 * 7 + n * 7) = -2(5n + -2) -1n + (-28 + 7n) = -2(5n + -2) Reorder the terms: -28 + -1n + 7n = -2(5n + -2) Combine like terms: -1n + 7n = 6n -28 + 6n = -2(5n + -2) Reorder the terms: -28 + 6n = -2(-2 + 5n) -28 + 6n = (-2 * -2 + 5n * -2) -28 + 6n = (4 + -10n) Solving -28 + 6n = 4 + -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. -28 + 6n + 10n = 4 + -10n + 10n Combine like terms: 6n + 10n = 16n -28 + 16n = 4 + -10n + 10n Combine like terms: -10n + 10n = 0 -28 + 16n = 4 + 0 -28 + 16n = 4 Add '28' to each side of the equation. -28 + 28 + 16n = 4 + 28 Combine like terms: -28 + 28 = 0 0 + 16n = 4 + 28 16n = 4 + 28 Combine like terms: 4 + 28 = 32 16n = 32 Divide each side by '16'. n = 2 Simplifying n = 2
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