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Simplifying 33 + -3n = -1n + -7(8n + 3) Reorder the terms: 33 + -3n = -1n + -7(3 + 8n) 33 + -3n = -1n + (3 * -7 + 8n * -7) 33 + -3n = -1n + (-21 + -56n) Reorder the terms: 33 + -3n = -21 + -1n + -56n Combine like terms: -1n + -56n = -57n 33 + -3n = -21 + -57n Solving 33 + -3n = -21 + -57n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '57n' to each side of the equation. 33 + -3n + 57n = -21 + -57n + 57n Combine like terms: -3n + 57n = 54n 33 + 54n = -21 + -57n + 57n Combine like terms: -57n + 57n = 0 33 + 54n = -21 + 0 33 + 54n = -21 Add '-33' to each side of the equation. 33 + -33 + 54n = -21 + -33 Combine like terms: 33 + -33 = 0 0 + 54n = -21 + -33 54n = -21 + -33 Combine like terms: -21 + -33 = -54 54n = -54 Divide each side by '54'. n = -1 Simplifying n = -1
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