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Simplifying -1.4(33 + n) = 12 + n (33 * -1.4 + n * -1.4) = 12 + n (-46.2 + -1.4n) = 12 + n Solving -46.2 + -1.4n = 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. -46.2 + -1.4n + -1n = 12 + n + -1n Combine like terms: -1.4n + -1n = -2.4n -46.2 + -2.4n = 12 + n + -1n Combine like terms: n + -1n = 0 -46.2 + -2.4n = 12 + 0 -46.2 + -2.4n = 12 Add '46.2' to each side of the equation. -46.2 + 46.2 + -2.4n = 12 + 46.2 Combine like terms: -46.2 + 46.2 = 0.0 0.0 + -2.4n = 12 + 46.2 -2.4n = 12 + 46.2 Combine like terms: 12 + 46.2 = 58.2 -2.4n = 58.2 Divide each side by '-2.4'. n = -24.25 Simplifying n = -24.25
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