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Simplifying 5n + -33 = -4n + -6(7n + -3) Reorder the terms: -33 + 5n = -4n + -6(7n + -3) Reorder the terms: -33 + 5n = -4n + -6(-3 + 7n) -33 + 5n = -4n + (-3 * -6 + 7n * -6) -33 + 5n = -4n + (18 + -42n) Reorder the terms: -33 + 5n = 18 + -4n + -42n Combine like terms: -4n + -42n = -46n -33 + 5n = 18 + -46n Solving -33 + 5n = 18 + -46n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '46n' to each side of the equation. -33 + 5n + 46n = 18 + -46n + 46n Combine like terms: 5n + 46n = 51n -33 + 51n = 18 + -46n + 46n Combine like terms: -46n + 46n = 0 -33 + 51n = 18 + 0 -33 + 51n = 18 Add '33' to each side of the equation. -33 + 33 + 51n = 18 + 33 Combine like terms: -33 + 33 = 0 0 + 51n = 18 + 33 51n = 18 + 33 Combine like terms: 18 + 33 = 51 51n = 51 Divide each side by '51'. n = 1 Simplifying n = 1
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