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Simplifying -4(n + -3) + 3n = n + 22 Reorder the terms: -4(-3 + n) + 3n = n + 22 (-3 * -4 + n * -4) + 3n = n + 22 (12 + -4n) + 3n = n + 22 Combine like terms: -4n + 3n = -1n 12 + -1n = n + 22 Reorder the terms: 12 + -1n = 22 + n Solving 12 + -1n = 22 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 12 + -1n + -1n = 22 + n + -1n Combine like terms: -1n + -1n = -2n 12 + -2n = 22 + n + -1n Combine like terms: n + -1n = 0 12 + -2n = 22 + 0 12 + -2n = 22 Add '-12' to each side of the equation. 12 + -12 + -2n = 22 + -12 Combine like terms: 12 + -12 = 0 0 + -2n = 22 + -12 -2n = 22 + -12 Combine like terms: 22 + -12 = 10 -2n = 10 Divide each side by '-2'. n = -5 Simplifying n = -5
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