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Simplifying 6 + -5(n + 7) = -33 + -4n Reorder the terms: 6 + -5(7 + n) = -33 + -4n 6 + (7 * -5 + n * -5) = -33 + -4n 6 + (-35 + -5n) = -33 + -4n Combine like terms: 6 + -35 = -29 -29 + -5n = -33 + -4n Solving -29 + -5n = -33 + -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. -29 + -5n + 4n = -33 + -4n + 4n Combine like terms: -5n + 4n = -1n -29 + -1n = -33 + -4n + 4n Combine like terms: -4n + 4n = 0 -29 + -1n = -33 + 0 -29 + -1n = -33 Add '29' to each side of the equation. -29 + 29 + -1n = -33 + 29 Combine like terms: -29 + 29 = 0 0 + -1n = -33 + 29 -1n = -33 + 29 Combine like terms: -33 + 29 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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