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Simplifying -7(3n + 10) = -1(5n + 6) Reorder the terms: -7(10 + 3n) = -1(5n + 6) (10 * -7 + 3n * -7) = -1(5n + 6) (-70 + -21n) = -1(5n + 6) Reorder the terms: -70 + -21n = -1(6 + 5n) -70 + -21n = (6 * -1 + 5n * -1) -70 + -21n = (-6 + -5n) Solving -70 + -21n = -6 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -70 + -21n + 5n = -6 + -5n + 5n Combine like terms: -21n + 5n = -16n -70 + -16n = -6 + -5n + 5n Combine like terms: -5n + 5n = 0 -70 + -16n = -6 + 0 -70 + -16n = -6 Add '70' to each side of the equation. -70 + 70 + -16n = -6 + 70 Combine like terms: -70 + 70 = 0 0 + -16n = -6 + 70 -16n = -6 + 70 Combine like terms: -6 + 70 = 64 -16n = 64 Divide each side by '-16'. n = -4 Simplifying n = -4
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