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Simplifying -32 + -7n = -6(2 + 4n) + -3 -32 + -7n = (2 * -6 + 4n * -6) + -3 -32 + -7n = (-12 + -24n) + -3 Reorder the terms: -32 + -7n = -12 + -3 + -24n Combine like terms: -12 + -3 = -15 -32 + -7n = -15 + -24n Solving -32 + -7n = -15 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -32 + -7n + 24n = -15 + -24n + 24n Combine like terms: -7n + 24n = 17n -32 + 17n = -15 + -24n + 24n Combine like terms: -24n + 24n = 0 -32 + 17n = -15 + 0 -32 + 17n = -15 Add '32' to each side of the equation. -32 + 32 + 17n = -15 + 32 Combine like terms: -32 + 32 = 0 0 + 17n = -15 + 32 17n = -15 + 32 Combine like terms: -15 + 32 = 17 17n = 17 Divide each side by '17'. n = 1 Simplifying n = 1
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