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Simplifying 7(n + -12) + -52n = 62 Reorder the terms: 7(-12 + n) + -52n = 62 (-12 * 7 + n * 7) + -52n = 62 (-84 + 7n) + -52n = 62 Combine like terms: 7n + -52n = -45n -84 + -45n = 62 Solving -84 + -45n = 62 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -45n = 62 + 84 Combine like terms: -84 + 84 = 0 0 + -45n = 62 + 84 -45n = 62 + 84 Combine like terms: 62 + 84 = 146 -45n = 146 Divide each side by '-45'. n = -3.244444444 Simplifying n = -3.244444444
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