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Simplifying -2(1 + n) + -5 = -15 + -1n (1 * -2 + n * -2) + -5 = -15 + -1n (-2 + -2n) + -5 = -15 + -1n Reorder the terms: -2 + -5 + -2n = -15 + -1n Combine like terms: -2 + -5 = -7 -7 + -2n = -15 + -1n Solving -7 + -2n = -15 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -7 + -2n + n = -15 + -1n + n Combine like terms: -2n + n = -1n -7 + -1n = -15 + -1n + n Combine like terms: -1n + n = 0 -7 + -1n = -15 + 0 -7 + -1n = -15 Add '7' to each side of the equation. -7 + 7 + -1n = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -1n = -15 + 7 -1n = -15 + 7 Combine like terms: -15 + 7 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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