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Simplifying -38 + -2n = 8(2 + 2n) -38 + -2n = (2 * 8 + 2n * 8) -38 + -2n = (16 + 16n) Solving -38 + -2n = 16 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -38 + -2n + -16n = 16 + 16n + -16n Combine like terms: -2n + -16n = -18n -38 + -18n = 16 + 16n + -16n Combine like terms: 16n + -16n = 0 -38 + -18n = 16 + 0 -38 + -18n = 16 Add '38' to each side of the equation. -38 + 38 + -18n = 16 + 38 Combine like terms: -38 + 38 = 0 0 + -18n = 16 + 38 -18n = 16 + 38 Combine like terms: 16 + 38 = 54 -18n = 54 Divide each side by '-18'. n = -3 Simplifying n = -3
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