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Simplifying -8(7n + 7) + 1 = 2n + 3 Reorder the terms: -8(7 + 7n) + 1 = 2n + 3 (7 * -8 + 7n * -8) + 1 = 2n + 3 (-56 + -56n) + 1 = 2n + 3 Reorder the terms: -56 + 1 + -56n = 2n + 3 Combine like terms: -56 + 1 = -55 -55 + -56n = 2n + 3 Reorder the terms: -55 + -56n = 3 + 2n Solving -55 + -56n = 3 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -55 + -56n + -2n = 3 + 2n + -2n Combine like terms: -56n + -2n = -58n -55 + -58n = 3 + 2n + -2n Combine like terms: 2n + -2n = 0 -55 + -58n = 3 + 0 -55 + -58n = 3 Add '55' to each side of the equation. -55 + 55 + -58n = 3 + 55 Combine like terms: -55 + 55 = 0 0 + -58n = 3 + 55 -58n = 3 + 55 Combine like terms: 3 + 55 = 58 -58n = 58 Divide each side by '-58'. n = -1 Simplifying n = -1
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