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Simplifying -6(2 + 4n) + 7 = 7n + -36 (2 * -6 + 4n * -6) + 7 = 7n + -36 (-12 + -24n) + 7 = 7n + -36 Reorder the terms: -12 + 7 + -24n = 7n + -36 Combine like terms: -12 + 7 = -5 -5 + -24n = 7n + -36 Reorder the terms: -5 + -24n = -36 + 7n Solving -5 + -24n = -36 + 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. -5 + -24n + -7n = -36 + 7n + -7n Combine like terms: -24n + -7n = -31n -5 + -31n = -36 + 7n + -7n Combine like terms: 7n + -7n = 0 -5 + -31n = -36 + 0 -5 + -31n = -36 Add '5' to each side of the equation. -5 + 5 + -31n = -36 + 5 Combine like terms: -5 + 5 = 0 0 + -31n = -36 + 5 -31n = -36 + 5 Combine like terms: -36 + 5 = -31 -31n = -31 Divide each side by '-31'. n = 1 Simplifying n = 1
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