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Simplifying -7 + -1(3n + -4) = n + -23 Reorder the terms: -7 + -1(-4 + 3n) = n + -23 -7 + (-4 * -1 + 3n * -1) = n + -23 -7 + (4 + -3n) = n + -23 Combine like terms: -7 + 4 = -3 -3 + -3n = n + -23 Reorder the terms: -3 + -3n = -23 + n Solving -3 + -3n = -23 + 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. -3 + -3n + -1n = -23 + n + -1n Combine like terms: -3n + -1n = -4n -3 + -4n = -23 + n + -1n Combine like terms: n + -1n = 0 -3 + -4n = -23 + 0 -3 + -4n = -23 Add '3' to each side of the equation. -3 + 3 + -4n = -23 + 3 Combine like terms: -3 + 3 = 0 0 + -4n = -23 + 3 -4n = -23 + 3 Combine like terms: -23 + 3 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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