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Simplifying -109 = -5(4 + -3n) + 1 -109 = (4 * -5 + -3n * -5) + 1 -109 = (-20 + 15n) + 1 Reorder the terms: -109 = -20 + 1 + 15n Combine like terms: -20 + 1 = -19 -109 = -19 + 15n Solving -109 = -19 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -109 + -15n = -19 + 15n + -15n Combine like terms: 15n + -15n = 0 -109 + -15n = -19 + 0 -109 + -15n = -19 Add '109' to each side of the equation. -109 + 109 + -15n = -19 + 109 Combine like terms: -109 + 109 = 0 0 + -15n = -19 + 109 -15n = -19 + 109 Combine like terms: -19 + 109 = 90 -15n = 90 Divide each side by '-15'. n = -6 Simplifying n = -6
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