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Simplifying n + -7(3n + 5) = -1n + 3 Reorder the terms: n + -7(5 + 3n) = -1n + 3 n + (5 * -7 + 3n * -7) = -1n + 3 n + (-35 + -21n) = -1n + 3 Reorder the terms: -35 + n + -21n = -1n + 3 Combine like terms: n + -21n = -20n -35 + -20n = -1n + 3 Reorder the terms: -35 + -20n = 3 + -1n Solving -35 + -20n = 3 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -35 + -20n + n = 3 + -1n + n Combine like terms: -20n + n = -19n -35 + -19n = 3 + -1n + n Combine like terms: -1n + n = 0 -35 + -19n = 3 + 0 -35 + -19n = 3 Add '35' to each side of the equation. -35 + 35 + -19n = 3 + 35 Combine like terms: -35 + 35 = 0 0 + -19n = 3 + 35 -19n = 3 + 35 Combine like terms: 3 + 35 = 38 -19n = 38 Divide each side by '-19'. n = -2 Simplifying n = -2
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