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Simplifying -7n + -2 = n + 5(n + -3) Reorder the terms: -2 + -7n = n + 5(n + -3) Reorder the terms: -2 + -7n = n + 5(-3 + n) -2 + -7n = n + (-3 * 5 + n * 5) -2 + -7n = n + (-15 + 5n) Reorder the terms: -2 + -7n = -15 + n + 5n Combine like terms: n + 5n = 6n -2 + -7n = -15 + 6n Solving -2 + -7n = -15 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -2 + -7n + -6n = -15 + 6n + -6n Combine like terms: -7n + -6n = -13n -2 + -13n = -15 + 6n + -6n Combine like terms: 6n + -6n = 0 -2 + -13n = -15 + 0 -2 + -13n = -15 Add '2' to each side of the equation. -2 + 2 + -13n = -15 + 2 Combine like terms: -2 + 2 = 0 0 + -13n = -15 + 2 -13n = -15 + 2 Combine like terms: -15 + 2 = -13 -13n = -13 Divide each side by '-13'. n = 1 Simplifying n = 1
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