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Simplifying 2n + -29 = 7(n + -4) + -4n Reorder the terms: -29 + 2n = 7(n + -4) + -4n Reorder the terms: -29 + 2n = 7(-4 + n) + -4n -29 + 2n = (-4 * 7 + n * 7) + -4n -29 + 2n = (-28 + 7n) + -4n Combine like terms: 7n + -4n = 3n -29 + 2n = -28 + 3n Solving -29 + 2n = -28 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -29 + 2n + -3n = -28 + 3n + -3n Combine like terms: 2n + -3n = -1n -29 + -1n = -28 + 3n + -3n Combine like terms: 3n + -3n = 0 -29 + -1n = -28 + 0 -29 + -1n = -28 Add '29' to each side of the equation. -29 + 29 + -1n = -28 + 29 Combine like terms: -29 + 29 = 0 0 + -1n = -28 + 29 -1n = -28 + 29 Combine like terms: -28 + 29 = 1 -1n = 1 Divide each side by '-1'. n = -1 Simplifying n = -1
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