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Simplifying -7n + -36 = -1n + -3(5n + 3) Reorder the terms: -36 + -7n = -1n + -3(5n + 3) Reorder the terms: -36 + -7n = -1n + -3(3 + 5n) -36 + -7n = -1n + (3 * -3 + 5n * -3) -36 + -7n = -1n + (-9 + -15n) Reorder the terms: -36 + -7n = -9 + -1n + -15n Combine like terms: -1n + -15n = -16n -36 + -7n = -9 + -16n Solving -36 + -7n = -9 + -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. -36 + -7n + 16n = -9 + -16n + 16n Combine like terms: -7n + 16n = 9n -36 + 9n = -9 + -16n + 16n Combine like terms: -16n + 16n = 0 -36 + 9n = -9 + 0 -36 + 9n = -9 Add '36' to each side of the equation. -36 + 36 + 9n = -9 + 36 Combine like terms: -36 + 36 = 0 0 + 9n = -9 + 36 9n = -9 + 36 Combine like terms: -9 + 36 = 27 9n = 27 Divide each side by '9'. n = 3 Simplifying n = 3
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