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Simplifying 5(n + -3) + -3 = 4n + -17 Reorder the terms: 5(-3 + n) + -3 = 4n + -17 (-3 * 5 + n * 5) + -3 = 4n + -17 (-15 + 5n) + -3 = 4n + -17 Reorder the terms: -15 + -3 + 5n = 4n + -17 Combine like terms: -15 + -3 = -18 -18 + 5n = 4n + -17 Reorder the terms: -18 + 5n = -17 + 4n Solving -18 + 5n = -17 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -18 + 5n + -4n = -17 + 4n + -4n Combine like terms: 5n + -4n = 1n -18 + 1n = -17 + 4n + -4n Combine like terms: 4n + -4n = 0 -18 + 1n = -17 + 0 -18 + 1n = -17 Add '18' to each side of the equation. -18 + 18 + 1n = -17 + 18 Combine like terms: -18 + 18 = 0 0 + 1n = -17 + 18 1n = -17 + 18 Combine like terms: -17 + 18 = 1 1n = 1 Divide each side by '1'. n = 1 Simplifying n = 1
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