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Simplifying -4(-7n + 7) + 2(-6n + -2) = 6n + 5 + -7 Reorder the terms: -4(7 + -7n) + 2(-6n + -2) = 6n + 5 + -7 (7 * -4 + -7n * -4) + 2(-6n + -2) = 6n + 5 + -7 (-28 + 28n) + 2(-6n + -2) = 6n + 5 + -7 Reorder the terms: -28 + 28n + 2(-2 + -6n) = 6n + 5 + -7 -28 + 28n + (-2 * 2 + -6n * 2) = 6n + 5 + -7 -28 + 28n + (-4 + -12n) = 6n + 5 + -7 Reorder the terms: -28 + -4 + 28n + -12n = 6n + 5 + -7 Combine like terms: -28 + -4 = -32 -32 + 28n + -12n = 6n + 5 + -7 Combine like terms: 28n + -12n = 16n -32 + 16n = 6n + 5 + -7 Reorder the terms: -32 + 16n = 5 + -7 + 6n Combine like terms: 5 + -7 = -2 -32 + 16n = -2 + 6n Solving -32 + 16n = -2 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -32 + 16n + -6n = -2 + 6n + -6n Combine like terms: 16n + -6n = 10n -32 + 10n = -2 + 6n + -6n Combine like terms: 6n + -6n = 0 -32 + 10n = -2 + 0 -32 + 10n = -2 Add '32' to each side of the equation. -32 + 32 + 10n = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 10n = -2 + 32 10n = -2 + 32 Combine like terms: -2 + 32 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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