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Simplifying 6(n + 7) + -3 = 7n + 33 Reorder the terms: 6(7 + n) + -3 = 7n + 33 (7 * 6 + n * 6) + -3 = 7n + 33 (42 + 6n) + -3 = 7n + 33 Reorder the terms: 42 + -3 + 6n = 7n + 33 Combine like terms: 42 + -3 = 39 39 + 6n = 7n + 33 Reorder the terms: 39 + 6n = 33 + 7n Solving 39 + 6n = 33 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 39 + 6n + -7n = 33 + 7n + -7n Combine like terms: 6n + -7n = -1n 39 + -1n = 33 + 7n + -7n Combine like terms: 7n + -7n = 0 39 + -1n = 33 + 0 39 + -1n = 33 Add '-39' to each side of the equation. 39 + -39 + -1n = 33 + -39 Combine like terms: 39 + -39 = 0 0 + -1n = 33 + -39 -1n = 33 + -39 Combine like terms: 33 + -39 = -6 -1n = -6 Divide each side by '-1'. n = 6 Simplifying n = 6
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