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Simplifying -7(n + 1) + -1(6 + 8n) = -16n Reorder the terms: -7(1 + n) + -1(6 + 8n) = -16n (1 * -7 + n * -7) + -1(6 + 8n) = -16n (-7 + -7n) + -1(6 + 8n) = -16n -7 + -7n + (6 * -1 + 8n * -1) = -16n -7 + -7n + (-6 + -8n) = -16n Reorder the terms: -7 + -6 + -7n + -8n = -16n Combine like terms: -7 + -6 = -13 -13 + -7n + -8n = -16n Combine like terms: -7n + -8n = -15n -13 + -15n = -16n Solving -13 + -15n = -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -13 + -15n + 16n = -16n + 16n Combine like terms: -15n + 16n = 1n -13 + 1n = -16n + 16n Combine like terms: -16n + 16n = 0 -13 + 1n = 0 Add '13' to each side of the equation. -13 + 13 + 1n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 1n = 0 + 13 1n = 0 + 13 Combine like terms: 0 + 13 = 13 1n = 13 Divide each side by '1'. n = 13 Simplifying n = 13
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