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Simplifying -36 + 3n = -7(-1n + 1) + 3 Reorder the terms: -36 + 3n = -7(1 + -1n) + 3 -36 + 3n = (1 * -7 + -1n * -7) + 3 -36 + 3n = (-7 + 7n) + 3 Reorder the terms: -36 + 3n = -7 + 3 + 7n Combine like terms: -7 + 3 = -4 -36 + 3n = -4 + 7n Solving -36 + 3n = -4 + 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. -36 + 3n + -7n = -4 + 7n + -7n Combine like terms: 3n + -7n = -4n -36 + -4n = -4 + 7n + -7n Combine like terms: 7n + -7n = 0 -36 + -4n = -4 + 0 -36 + -4n = -4 Add '36' to each side of the equation. -36 + 36 + -4n = -4 + 36 Combine like terms: -36 + 36 = 0 0 + -4n = -4 + 36 -4n = -4 + 36 Combine like terms: -4 + 36 = 32 -4n = 32 Divide each side by '-4'. n = -8 Simplifying n = -8
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