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Simplifying 1.5(12n + -2) = 5n + -7 Reorder the terms: 1.5(-2 + 12n) = 5n + -7 (-2 * 1.5 + 12n * 1.5) = 5n + -7 (-3 + 18n) = 5n + -7 Reorder the terms: -3 + 18n = -7 + 5n Solving -3 + 18n = -7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -3 + 18n + -5n = -7 + 5n + -5n Combine like terms: 18n + -5n = 13n -3 + 13n = -7 + 5n + -5n Combine like terms: 5n + -5n = 0 -3 + 13n = -7 + 0 -3 + 13n = -7 Add '3' to each side of the equation. -3 + 3 + 13n = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 13n = -7 + 3 13n = -7 + 3 Combine like terms: -7 + 3 = -4 13n = -4 Divide each side by '13'. n = -0.3076923077 Simplifying n = -0.3076923077
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