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Simplifying -1(n + 19) + 19 = n + -14 Reorder the terms: -1(19 + n) + 19 = n + -14 (19 * -1 + n * -1) + 19 = n + -14 (-19 + -1n) + 19 = n + -14 Reorder the terms: -19 + 19 + -1n = n + -14 Combine like terms: -19 + 19 = 0 0 + -1n = n + -14 -1n = n + -14 Reorder the terms: -1n = -14 + n Solving -1n = -14 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -1n + -1n = -14 + n + -1n Combine like terms: -1n + -1n = -2n -2n = -14 + n + -1n Combine like terms: n + -1n = 0 -2n = -14 + 0 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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