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Simplifying 19 + -2n = 7(n + -2) + -3 Reorder the terms: 19 + -2n = 7(-2 + n) + -3 19 + -2n = (-2 * 7 + n * 7) + -3 19 + -2n = (-14 + 7n) + -3 Reorder the terms: 19 + -2n = -14 + -3 + 7n Combine like terms: -14 + -3 = -17 19 + -2n = -17 + 7n Solving 19 + -2n = -17 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 19 + -2n + -7n = -17 + 7n + -7n Combine like terms: -2n + -7n = -9n 19 + -9n = -17 + 7n + -7n Combine like terms: 7n + -7n = 0 19 + -9n = -17 + 0 19 + -9n = -17 Add '-19' to each side of the equation. 19 + -19 + -9n = -17 + -19 Combine like terms: 19 + -19 = 0 0 + -9n = -17 + -19 -9n = -17 + -19 Combine like terms: -17 + -19 = -36 -9n = -36 Divide each side by '-9'. n = 4 Simplifying n = 4
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