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Simplifying -6n + -38 = 7(3 + 8n) + -3n Reorder the terms: -38 + -6n = 7(3 + 8n) + -3n -38 + -6n = (3 * 7 + 8n * 7) + -3n -38 + -6n = (21 + 56n) + -3n Combine like terms: 56n + -3n = 53n -38 + -6n = 21 + 53n Solving -38 + -6n = 21 + 53n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-53n' to each side of the equation. -38 + -6n + -53n = 21 + 53n + -53n Combine like terms: -6n + -53n = -59n -38 + -59n = 21 + 53n + -53n Combine like terms: 53n + -53n = 0 -38 + -59n = 21 + 0 -38 + -59n = 21 Add '38' to each side of the equation. -38 + 38 + -59n = 21 + 38 Combine like terms: -38 + 38 = 0 0 + -59n = 21 + 38 -59n = 21 + 38 Combine like terms: 21 + 38 = 59 -59n = 59 Divide each side by '-59'. n = -1 Simplifying n = -1
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