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Simplifying -28 + -5n = -1n + 8(3 + 6n) -28 + -5n = -1n + (3 * 8 + 6n * 8) -28 + -5n = -1n + (24 + 48n) Reorder the terms: -28 + -5n = 24 + -1n + 48n Combine like terms: -1n + 48n = 47n -28 + -5n = 24 + 47n Solving -28 + -5n = 24 + 47n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-47n' to each side of the equation. -28 + -5n + -47n = 24 + 47n + -47n Combine like terms: -5n + -47n = -52n -28 + -52n = 24 + 47n + -47n Combine like terms: 47n + -47n = 0 -28 + -52n = 24 + 0 -28 + -52n = 24 Add '28' to each side of the equation. -28 + 28 + -52n = 24 + 28 Combine like terms: -28 + 28 = 0 0 + -52n = 24 + 28 -52n = 24 + 28 Combine like terms: 24 + 28 = 52 -52n = 52 Divide each side by '-52'. n = -1 Simplifying n = -1
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