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Simplifying n + -48 = 7(5n + 8) + -2 Reorder the terms: -48 + n = 7(5n + 8) + -2 Reorder the terms: -48 + n = 7(8 + 5n) + -2 -48 + n = (8 * 7 + 5n * 7) + -2 -48 + n = (56 + 35n) + -2 Reorder the terms: -48 + n = 56 + -2 + 35n Combine like terms: 56 + -2 = 54 -48 + n = 54 + 35n Solving -48 + n = 54 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. -48 + n + -35n = 54 + 35n + -35n Combine like terms: n + -35n = -34n -48 + -34n = 54 + 35n + -35n Combine like terms: 35n + -35n = 0 -48 + -34n = 54 + 0 -48 + -34n = 54 Add '48' to each side of the equation. -48 + 48 + -34n = 54 + 48 Combine like terms: -48 + 48 = 0 0 + -34n = 54 + 48 -34n = 54 + 48 Combine like terms: 54 + 48 = 102 -34n = 102 Divide each side by '-34'. n = -3 Simplifying n = -3
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