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Simplifying -4n + 7 = -3(n + -3) + -3 Reorder the terms: 7 + -4n = -3(n + -3) + -3 Reorder the terms: 7 + -4n = -3(-3 + n) + -3 7 + -4n = (-3 * -3 + n * -3) + -3 7 + -4n = (9 + -3n) + -3 Reorder the terms: 7 + -4n = 9 + -3 + -3n Combine like terms: 9 + -3 = 6 7 + -4n = 6 + -3n Solving 7 + -4n = 6 + -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. 7 + -4n + 3n = 6 + -3n + 3n Combine like terms: -4n + 3n = -1n 7 + -1n = 6 + -3n + 3n Combine like terms: -3n + 3n = 0 7 + -1n = 6 + 0 7 + -1n = 6 Add '-7' to each side of the equation. 7 + -7 + -1n = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 6 + -7 -1n = 6 + -7 Combine like terms: 6 + -7 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1
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