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Simplifying 2n + -6 = 8(8n + 6) + 8 Reorder the terms: -6 + 2n = 8(8n + 6) + 8 Reorder the terms: -6 + 2n = 8(6 + 8n) + 8 -6 + 2n = (6 * 8 + 8n * 8) + 8 -6 + 2n = (48 + 64n) + 8 Reorder the terms: -6 + 2n = 48 + 8 + 64n Combine like terms: 48 + 8 = 56 -6 + 2n = 56 + 64n Solving -6 + 2n = 56 + 64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64n' to each side of the equation. -6 + 2n + -64n = 56 + 64n + -64n Combine like terms: 2n + -64n = -62n -6 + -62n = 56 + 64n + -64n Combine like terms: 64n + -64n = 0 -6 + -62n = 56 + 0 -6 + -62n = 56 Add '6' to each side of the equation. -6 + 6 + -62n = 56 + 6 Combine like terms: -6 + 6 = 0 0 + -62n = 56 + 6 -62n = 56 + 6 Combine like terms: 56 + 6 = 62 -62n = 62 Divide each side by '-62'. n = -1 Simplifying n = -1
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