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Simplifying 10 + -3n = -7(n + -6) Reorder the terms: 10 + -3n = -7(-6 + n) 10 + -3n = (-6 * -7 + n * -7) 10 + -3n = (42 + -7n) Solving 10 + -3n = 42 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 10 + -3n + 7n = 42 + -7n + 7n Combine like terms: -3n + 7n = 4n 10 + 4n = 42 + -7n + 7n Combine like terms: -7n + 7n = 0 10 + 4n = 42 + 0 10 + 4n = 42 Add '-10' to each side of the equation. 10 + -10 + 4n = 42 + -10 Combine like terms: 10 + -10 = 0 0 + 4n = 42 + -10 4n = 42 + -10 Combine like terms: 42 + -10 = 32 4n = 32 Divide each side by '4'. n = 8 Simplifying n = 8
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