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Simplifying -21 + -1n = 3(-5n + 7) Reorder the terms: -21 + -1n = 3(7 + -5n) -21 + -1n = (7 * 3 + -5n * 3) -21 + -1n = (21 + -15n) Solving -21 + -1n = 21 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -21 + -1n + 15n = 21 + -15n + 15n Combine like terms: -1n + 15n = 14n -21 + 14n = 21 + -15n + 15n Combine like terms: -15n + 15n = 0 -21 + 14n = 21 + 0 -21 + 14n = 21 Add '21' to each side of the equation. -21 + 21 + 14n = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 14n = 21 + 21 14n = 21 + 21 Combine like terms: 21 + 21 = 42 14n = 42 Divide each side by '14'. n = 3 Simplifying n = 3
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