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Simplifying (2n + -4) * 90 = 450 + (n + -5) * 195 Reorder the terms: (-4 + 2n) * 90 = 450 + (n + -5) * 195 Reorder the terms for easier multiplication: 90(-4 + 2n) = 450 + (n + -5) * 195 (-4 * 90 + 2n * 90) = 450 + (n + -5) * 195 (-360 + 180n) = 450 + (n + -5) * 195 Reorder the terms: -360 + 180n = 450 + (-5 + n) * 195 Reorder the terms for easier multiplication: -360 + 180n = 450 + 195(-5 + n) -360 + 180n = 450 + (-5 * 195 + n * 195) -360 + 180n = 450 + (-975 + 195n) Combine like terms: 450 + -975 = -525 -360 + 180n = -525 + 195n Solving -360 + 180n = -525 + 195n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-195n' to each side of the equation. -360 + 180n + -195n = -525 + 195n + -195n Combine like terms: 180n + -195n = -15n -360 + -15n = -525 + 195n + -195n Combine like terms: 195n + -195n = 0 -360 + -15n = -525 + 0 -360 + -15n = -525 Add '360' to each side of the equation. -360 + 360 + -15n = -525 + 360 Combine like terms: -360 + 360 = 0 0 + -15n = -525 + 360 -15n = -525 + 360 Combine like terms: -525 + 360 = -165 -15n = -165 Divide each side by '-15'. n = 11 Simplifying n = 11
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