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Simplifying -229 = -6(7 + -4n) + 5 -229 = (7 * -6 + -4n * -6) + 5 -229 = (-42 + 24n) + 5 Reorder the terms: -229 = -42 + 5 + 24n Combine like terms: -42 + 5 = -37 -229 = -37 + 24n Solving -229 = -37 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -229 + -24n = -37 + 24n + -24n Combine like terms: 24n + -24n = 0 -229 + -24n = -37 + 0 -229 + -24n = -37 Add '229' to each side of the equation. -229 + 229 + -24n = -37 + 229 Combine like terms: -229 + 229 = 0 0 + -24n = -37 + 229 -24n = -37 + 229 Combine like terms: -37 + 229 = 192 -24n = 192 Divide each side by '-24'. n = -8 Simplifying n = -8
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