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Simplifying 33 + 5n = 3n + -7(-8n + 3) Reorder the terms: 33 + 5n = 3n + -7(3 + -8n) 33 + 5n = 3n + (3 * -7 + -8n * -7) 33 + 5n = 3n + (-21 + 56n) Reorder the terms: 33 + 5n = -21 + 3n + 56n Combine like terms: 3n + 56n = 59n 33 + 5n = -21 + 59n Solving 33 + 5n = -21 + 59n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-59n' to each side of the equation. 33 + 5n + -59n = -21 + 59n + -59n Combine like terms: 5n + -59n = -54n 33 + -54n = -21 + 59n + -59n Combine like terms: 59n + -59n = 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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