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Simplifying 0.75(33 + n) = 12 + n (33 * 0.75 + n * 0.75) = 12 + n (24.75 + 0.75n) = 12 + n Solving 24.75 + 0.75n = 12 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 24.75 + 0.75n + -1n = 12 + n + -1n Combine like terms: 0.75n + -1n = -0.25n 24.75 + -0.25n = 12 + n + -1n Combine like terms: n + -1n = 0 24.75 + -0.25n = 12 + 0 24.75 + -0.25n = 12 Add '-24.75' to each side of the equation. 24.75 + -24.75 + -0.25n = 12 + -24.75 Combine like terms: 24.75 + -24.75 = 0.00 0.00 + -0.25n = 12 + -24.75 -0.25n = 12 + -24.75 Combine like terms: 12 + -24.75 = -12.75 -0.25n = -12.75 Divide each side by '-0.25'. n = 51 Simplifying n = 51
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