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Simplifying 3(n + -10) = 6(n + 7) Reorder the terms: 3(-10 + n) = 6(n + 7) (-10 * 3 + n * 3) = 6(n + 7) (-30 + 3n) = 6(n + 7) Reorder the terms: -30 + 3n = 6(7 + n) -30 + 3n = (7 * 6 + n * 6) -30 + 3n = (42 + 6n) Solving -30 + 3n = 42 + 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. -30 + 3n + -6n = 42 + 6n + -6n Combine like terms: 3n + -6n = -3n -30 + -3n = 42 + 6n + -6n Combine like terms: 6n + -6n = 0 -30 + -3n = 42 + 0 -30 + -3n = 42 Add '30' to each side of the equation. -30 + 30 + -3n = 42 + 30 Combine like terms: -30 + 30 = 0 0 + -3n = 42 + 30 -3n = 42 + 30 Combine like terms: 42 + 30 = 72 -3n = 72 Divide each side by '-3'. n = -24 Simplifying n = -24
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