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Simplifying 19 + -2n = n + 8(-2 + 4n) 19 + -2n = n + (-2 * 8 + 4n * 8) 19 + -2n = n + (-16 + 32n) Reorder the terms: 19 + -2n = -16 + n + 32n Combine like terms: n + 32n = 33n 19 + -2n = -16 + 33n Solving 19 + -2n = -16 + 33n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33n' to each side of the equation. 19 + -2n + -33n = -16 + 33n + -33n Combine like terms: -2n + -33n = -35n 19 + -35n = -16 + 33n + -33n Combine like terms: 33n + -33n = 0 19 + -35n = -16 + 0 19 + -35n = -16 Add '-19' to each side of the equation. 19 + -19 + -35n = -16 + -19 Combine like terms: 19 + -19 = 0 0 + -35n = -16 + -19 -35n = -16 + -19 Combine like terms: -16 + -19 = -35 -35n = -35 Divide each side by '-35'. n = 1 Simplifying n = 1
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