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Simplifying -38 + 5n = 3(6n + -4) Reorder the terms: -38 + 5n = 3(-4 + 6n) -38 + 5n = (-4 * 3 + 6n * 3) -38 + 5n = (-12 + 18n) Solving -38 + 5n = -12 + 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. -38 + 5n + -18n = -12 + 18n + -18n Combine like terms: 5n + -18n = -13n -38 + -13n = -12 + 18n + -18n Combine like terms: 18n + -18n = 0 -38 + -13n = -12 + 0 -38 + -13n = -12 Add '38' to each side of the equation. -38 + 38 + -13n = -12 + 38 Combine like terms: -38 + 38 = 0 0 + -13n = -12 + 38 -13n = -12 + 38 Combine like terms: -12 + 38 = 26 -13n = 26 Divide each side by '-13'. n = -2 Simplifying n = -2
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