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Simplifying -8(n + 6) = -7(n + 7) Reorder the terms: -8(6 + n) = -7(n + 7) (6 * -8 + n * -8) = -7(n + 7) (-48 + -8n) = -7(n + 7) Reorder the terms: -48 + -8n = -7(7 + n) -48 + -8n = (7 * -7 + n * -7) -48 + -8n = (-49 + -7n) Solving -48 + -8n = -49 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -48 + -8n + 7n = -49 + -7n + 7n Combine like terms: -8n + 7n = -1n -48 + -1n = -49 + -7n + 7n Combine like terms: -7n + 7n = 0 -48 + -1n = -49 + 0 -48 + -1n = -49 Add '48' to each side of the equation. -48 + 48 + -1n = -49 + 48 Combine like terms: -48 + 48 = 0 0 + -1n = -49 + 48 -1n = -49 + 48 Combine like terms: -49 + 48 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1
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