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Simplifying 33 + -1n = -4n + 5(n + 5) Reorder the terms: 33 + -1n = -4n + 5(5 + n) 33 + -1n = -4n + (5 * 5 + n * 5) 33 + -1n = -4n + (25 + 5n) Reorder the terms: 33 + -1n = 25 + -4n + 5n Combine like terms: -4n + 5n = 1n 33 + -1n = 25 + 1n Solving 33 + -1n = 25 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 33 + -1n + -1n = 25 + 1n + -1n Combine like terms: -1n + -1n = -2n 33 + -2n = 25 + 1n + -1n Combine like terms: 1n + -1n = 0 33 + -2n = 25 + 0 33 + -2n = 25 Add '-33' to each side of the equation. 33 + -33 + -2n = 25 + -33 Combine like terms: 33 + -33 = 0 0 + -2n = 25 + -33 -2n = 25 + -33 Combine like terms: 25 + -33 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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