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Simplifying 7n + -29 = 4(1 + 3n) + -3 Reorder the terms: -29 + 7n = 4(1 + 3n) + -3 -29 + 7n = (1 * 4 + 3n * 4) + -3 -29 + 7n = (4 + 12n) + -3 Reorder the terms: -29 + 7n = 4 + -3 + 12n Combine like terms: 4 + -3 = 1 -29 + 7n = 1 + 12n Solving -29 + 7n = 1 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -29 + 7n + -12n = 1 + 12n + -12n Combine like terms: 7n + -12n = -5n -29 + -5n = 1 + 12n + -12n Combine like terms: 12n + -12n = 0 -29 + -5n = 1 + 0 -29 + -5n = 1 Add '29' to each side of the equation. -29 + 29 + -5n = 1 + 29 Combine like terms: -29 + 29 = 0 0 + -5n = 1 + 29 -5n = 1 + 29 Combine like terms: 1 + 29 = 30 -5n = 30 Divide each side by '-5'. n = -6 Simplifying n = -6
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