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Simplifying -105 = 5(7n + 7) Reorder the terms: -105 = 5(7 + 7n) -105 = (7 * 5 + 7n * 5) -105 = (35 + 35n) Solving -105 = 35 + 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. -105 + -35n = 35 + 35n + -35n Combine like terms: 35n + -35n = 0 -105 + -35n = 35 + 0 -105 + -35n = 35 Add '105' to each side of the equation. -105 + 105 + -35n = 35 + 105 Combine like terms: -105 + 105 = 0 0 + -35n = 35 + 105 -35n = 35 + 105 Combine like terms: 35 + 105 = 140 -35n = 140 Divide each side by '-35'. n = -4 Simplifying n = -4
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