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Simplifying 7n + -33 = -4(-5n + -8) Reorder the terms: -33 + 7n = -4(-5n + -8) Reorder the terms: -33 + 7n = -4(-8 + -5n) -33 + 7n = (-8 * -4 + -5n * -4) -33 + 7n = (32 + 20n) Solving -33 + 7n = 32 + 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. -33 + 7n + -20n = 32 + 20n + -20n Combine like terms: 7n + -20n = -13n -33 + -13n = 32 + 20n + -20n Combine like terms: 20n + -20n = 0 -33 + -13n = 32 + 0 -33 + -13n = 32 Add '33' to each side of the equation. -33 + 33 + -13n = 32 + 33 Combine like terms: -33 + 33 = 0 0 + -13n = 32 + 33 -13n = 32 + 33 Combine like terms: 32 + 33 = 65 -13n = 65 Divide each side by '-13'. n = -5 Simplifying n = -5
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