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Simplifying 4(-1n + -7) = 35 + 5n Reorder the terms: 4(-7 + -1n) = 35 + 5n (-7 * 4 + -1n * 4) = 35 + 5n (-28 + -4n) = 35 + 5n Solving -28 + -4n = 35 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -28 + -4n + -5n = 35 + 5n + -5n Combine like terms: -4n + -5n = -9n -28 + -9n = 35 + 5n + -5n Combine like terms: 5n + -5n = 0 -28 + -9n = 35 + 0 -28 + -9n = 35 Add '28' to each side of the equation. -28 + 28 + -9n = 35 + 28 Combine like terms: -28 + 28 = 0 0 + -9n = 35 + 28 -9n = 35 + 28 Combine like terms: 35 + 28 = 63 -9n = 63 Divide each side by '-9'. n = -7 Simplifying n = -7
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