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Simplifying -189 = 7(5n + -7) Reorder the terms: -189 = 7(-7 + 5n) -189 = (-7 * 7 + 5n * 7) -189 = (-49 + 35n) Solving -189 = -49 + 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. -189 + -35n = -49 + 35n + -35n Combine like terms: 35n + -35n = 0 -189 + -35n = -49 + 0 -189 + -35n = -49 Add '189' to each side of the equation. -189 + 189 + -35n = -49 + 189 Combine like terms: -189 + 189 = 0 0 + -35n = -49 + 189 -35n = -49 + 189 Combine like terms: -49 + 189 = 140 -35n = 140 Divide each side by '-35'. n = -4 Simplifying n = -4
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