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Simplifying 45(8n + -3) = 19(2n + 7) Reorder the terms: 45(-3 + 8n) = 19(2n + 7) (-3 * 45 + 8n * 45) = 19(2n + 7) (-135 + 360n) = 19(2n + 7) Reorder the terms: -135 + 360n = 19(7 + 2n) -135 + 360n = (7 * 19 + 2n * 19) -135 + 360n = (133 + 38n) Solving -135 + 360n = 133 + 38n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-38n' to each side of the equation. -135 + 360n + -38n = 133 + 38n + -38n Combine like terms: 360n + -38n = 322n -135 + 322n = 133 + 38n + -38n Combine like terms: 38n + -38n = 0 -135 + 322n = 133 + 0 -135 + 322n = 133 Add '135' to each side of the equation. -135 + 135 + 322n = 133 + 135 Combine like terms: -135 + 135 = 0 0 + 322n = 133 + 135 322n = 133 + 135 Combine like terms: 133 + 135 = 268 322n = 268 Divide each side by '322'. n = 0.8322981366 Simplifying n = 0.8322981366
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