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Simplifying 3n + -3(7 + 5n) = 35 + -5n 3n + (7 * -3 + 5n * -3) = 35 + -5n 3n + (-21 + -15n) = 35 + -5n Reorder the terms: -21 + 3n + -15n = 35 + -5n Combine like terms: 3n + -15n = -12n -21 + -12n = 35 + -5n Solving -21 + -12n = 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. -21 + -12n + 5n = 35 + -5n + 5n Combine like terms: -12n + 5n = -7n -21 + -7n = 35 + -5n + 5n Combine like terms: -5n + 5n = 0 -21 + -7n = 35 + 0 -21 + -7n = 35 Add '21' to each side of the equation. -21 + 21 + -7n = 35 + 21 Combine like terms: -21 + 21 = 0 0 + -7n = 35 + 21 -7n = 35 + 21 Combine like terms: 35 + 21 = 56 -7n = 56 Divide each side by '-7'. n = -8 Simplifying n = -8
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