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Simplifying -6(-7n + 2) + -10 = -3 + 7n Reorder the terms: -6(2 + -7n) + -10 = -3 + 7n (2 * -6 + -7n * -6) + -10 = -3 + 7n (-12 + 42n) + -10 = -3 + 7n Reorder the terms: -12 + -10 + 42n = -3 + 7n Combine like terms: -12 + -10 = -22 -22 + 42n = -3 + 7n Solving -22 + 42n = -3 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -22 + 42n + -7n = -3 + 7n + -7n Combine like terms: 42n + -7n = 35n -22 + 35n = -3 + 7n + -7n Combine like terms: 7n + -7n = 0 -22 + 35n = -3 + 0 -22 + 35n = -3 Add '22' to each side of the equation. -22 + 22 + 35n = -3 + 22 Combine like terms: -22 + 22 = 0 0 + 35n = -3 + 22 35n = -3 + 22 Combine like terms: -3 + 22 = 19 35n = 19 Divide each side by '35'. n = 0.5428571429 Simplifying n = 0.5428571429
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