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Simplifying -1(n + 2) = 15(n + 7) Reorder the terms: -1(2 + n) = 15(n + 7) (2 * -1 + n * -1) = 15(n + 7) (-2 + -1n) = 15(n + 7) Reorder the terms: -2 + -1n = 15(7 + n) -2 + -1n = (7 * 15 + n * 15) -2 + -1n = (105 + 15n) Solving -2 + -1n = 105 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -2 + -1n + -15n = 105 + 15n + -15n Combine like terms: -1n + -15n = -16n -2 + -16n = 105 + 15n + -15n Combine like terms: 15n + -15n = 0 -2 + -16n = 105 + 0 -2 + -16n = 105 Add '2' to each side of the equation. -2 + 2 + -16n = 105 + 2 Combine like terms: -2 + 2 = 0 0 + -16n = 105 + 2 -16n = 105 + 2 Combine like terms: 105 + 2 = 107 -16n = 107 Divide each side by '-16'. n = -6.6875 Simplifying n = -6.6875
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