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Simplifying -13 + -6n = 3n + -4(n + 7) Reorder the terms: -13 + -6n = 3n + -4(7 + n) -13 + -6n = 3n + (7 * -4 + n * -4) -13 + -6n = 3n + (-28 + -4n) Reorder the terms: -13 + -6n = -28 + 3n + -4n Combine like terms: 3n + -4n = -1n -13 + -6n = -28 + -1n Solving -13 + -6n = -28 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -13 + -6n + n = -28 + -1n + n Combine like terms: -6n + n = -5n -13 + -5n = -28 + -1n + n Combine like terms: -1n + n = 0 -13 + -5n = -28 + 0 -13 + -5n = -28 Add '13' to each side of the equation. -13 + 13 + -5n = -28 + 13 Combine like terms: -13 + 13 = 0 0 + -5n = -28 + 13 -5n = -28 + 13 Combine like terms: -28 + 13 = -15 -5n = -15 Divide each side by '-5'. n = 3 Simplifying n = 3
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