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Simplifying 7(n + -6) + 3n = -10 + -6n Reorder the terms: 7(-6 + n) + 3n = -10 + -6n (-6 * 7 + n * 7) + 3n = -10 + -6n (-42 + 7n) + 3n = -10 + -6n Combine like terms: 7n + 3n = 10n -42 + 10n = -10 + -6n Solving -42 + 10n = -10 + -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. -42 + 10n + 6n = -10 + -6n + 6n Combine like terms: 10n + 6n = 16n -42 + 16n = -10 + -6n + 6n Combine like terms: -6n + 6n = 0 -42 + 16n = -10 + 0 -42 + 16n = -10 Add '42' to each side of the equation. -42 + 42 + 16n = -10 + 42 Combine like terms: -42 + 42 = 0 0 + 16n = -10 + 42 16n = -10 + 42 Combine like terms: -10 + 42 = 32 16n = 32 Divide each side by '16'. n = 2 Simplifying n = 2
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