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Simplifying 7n + -6 = 4n + 5 + -2(n + 3) Reorder the terms: -6 + 7n = 4n + 5 + -2(n + 3) Reorder the terms: -6 + 7n = 4n + 5 + -2(3 + n) -6 + 7n = 4n + 5 + (3 * -2 + n * -2) -6 + 7n = 4n + 5 + (-6 + -2n) Reorder the terms: -6 + 7n = 5 + -6 + 4n + -2n Combine like terms: 5 + -6 = -1 -6 + 7n = -1 + 4n + -2n Combine like terms: 4n + -2n = 2n -6 + 7n = -1 + 2n Solving -6 + 7n = -1 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -6 + 7n + -2n = -1 + 2n + -2n Combine like terms: 7n + -2n = 5n -6 + 5n = -1 + 2n + -2n Combine like terms: 2n + -2n = 0 -6 + 5n = -1 + 0 -6 + 5n = -1 Add '6' to each side of the equation. -6 + 6 + 5n = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 5n = -1 + 6 5n = -1 + 6 Combine like terms: -1 + 6 = 5 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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