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Simplifying -153 = 4(5n + 3) + -5 Reorder the terms: -153 = 4(3 + 5n) + -5 -153 = (3 * 4 + 5n * 4) + -5 -153 = (12 + 20n) + -5 Reorder the terms: -153 = 12 + -5 + 20n Combine like terms: 12 + -5 = 7 -153 = 7 + 20n Solving -153 = 7 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -153 + -20n = 7 + 20n + -20n Combine like terms: 20n + -20n = 0 -153 + -20n = 7 + 0 -153 + -20n = 7 Add '153' to each side of the equation. -153 + 153 + -20n = 7 + 153 Combine like terms: -153 + 153 = 0 0 + -20n = 7 + 153 -20n = 7 + 153 Combine like terms: 7 + 153 = 160 -20n = 160 Divide each side by '-20'. n = -8 Simplifying n = -8
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