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Simplifying -10 + 3n = -6(-3n + -4) + -4 Reorder the terms: -10 + 3n = -6(-4 + -3n) + -4 -10 + 3n = (-4 * -6 + -3n * -6) + -4 -10 + 3n = (24 + 18n) + -4 Reorder the terms: -10 + 3n = 24 + -4 + 18n Combine like terms: 24 + -4 = 20 -10 + 3n = 20 + 18n Solving -10 + 3n = 20 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -10 + 3n + -18n = 20 + 18n + -18n Combine like terms: 3n + -18n = -15n -10 + -15n = 20 + 18n + -18n Combine like terms: 18n + -18n = 0 -10 + -15n = 20 + 0 -10 + -15n = 20 Add '10' to each side of the equation. -10 + 10 + -15n = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -15n = 20 + 10 -15n = 20 + 10 Combine like terms: 20 + 10 = 30 -15n = 30 Divide each side by '-15'. n = -2 Simplifying n = -2
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