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Simplifying 10 + n = 6n + -1(n + 6) Reorder the terms: 10 + n = 6n + -1(6 + n) 10 + n = 6n + (6 * -1 + n * -1) 10 + n = 6n + (-6 + -1n) Reorder the terms: 10 + n = -6 + 6n + -1n Combine like terms: 6n + -1n = 5n 10 + n = -6 + 5n Solving 10 + n = -6 + 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. 10 + n + -5n = -6 + 5n + -5n Combine like terms: n + -5n = -4n 10 + -4n = -6 + 5n + -5n Combine like terms: 5n + -5n = 0 10 + -4n = -6 + 0 10 + -4n = -6 Add '-10' to each side of the equation. 10 + -10 + -4n = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -4n = -6 + -10 -4n = -6 + -10 Combine like terms: -6 + -10 = -16 -4n = -16 Divide each side by '-4'. n = 4 Simplifying n = 4
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