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Simplifying 8 + -8(8n + 6) = -8(5n + 1) + -2 Reorder the terms: 8 + -8(6 + 8n) = -8(5n + 1) + -2 8 + (6 * -8 + 8n * -8) = -8(5n + 1) + -2 8 + (-48 + -64n) = -8(5n + 1) + -2 Combine like terms: 8 + -48 = -40 -40 + -64n = -8(5n + 1) + -2 Reorder the terms: -40 + -64n = -8(1 + 5n) + -2 -40 + -64n = (1 * -8 + 5n * -8) + -2 -40 + -64n = (-8 + -40n) + -2 Reorder the terms: -40 + -64n = -8 + -2 + -40n Combine like terms: -8 + -2 = -10 -40 + -64n = -10 + -40n Solving -40 + -64n = -10 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. -40 + -64n + 40n = -10 + -40n + 40n Combine like terms: -64n + 40n = -24n -40 + -24n = -10 + -40n + 40n Combine like terms: -40n + 40n = 0 -40 + -24n = -10 + 0 -40 + -24n = -10 Add '40' to each side of the equation. -40 + 40 + -24n = -10 + 40 Combine like terms: -40 + 40 = 0 0 + -24n = -10 + 40 -24n = -10 + 40 Combine like terms: -10 + 40 = 30 -24n = 30 Divide each side by '-24'. n = -1.25 Simplifying n = -1.25
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