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Simplifying 7 + 5n = -1(-6 + -6n) 7 + 5n = (-6 * -1 + -6n * -1) 7 + 5n = (6 + 6n) Solving 7 + 5n = 6 + 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. 7 + 5n + -6n = 6 + 6n + -6n Combine like terms: 5n + -6n = -1n 7 + -1n = 6 + 6n + -6n Combine like terms: 6n + -6n = 0 7 + -1n = 6 + 0 7 + -1n = 6 Add '-7' to each side of the equation. 7 + -7 + -1n = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 6 + -7 -1n = 6 + -7 Combine like terms: 6 + -7 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1
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