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Simplifying -38 + 7n = -2n + 4(3n + -8) Reorder the terms: -38 + 7n = -2n + 4(-8 + 3n) -38 + 7n = -2n + (-8 * 4 + 3n * 4) -38 + 7n = -2n + (-32 + 12n) Reorder the terms: -38 + 7n = -32 + -2n + 12n Combine like terms: -2n + 12n = 10n -38 + 7n = -32 + 10n Solving -38 + 7n = -32 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -38 + 7n + -10n = -32 + 10n + -10n Combine like terms: 7n + -10n = -3n -38 + -3n = -32 + 10n + -10n Combine like terms: 10n + -10n = 0 -38 + -3n = -32 + 0 -38 + -3n = -32 Add '38' to each side of the equation. -38 + 38 + -3n = -32 + 38 Combine like terms: -38 + 38 = 0 0 + -3n = -32 + 38 -3n = -32 + 38 Combine like terms: -32 + 38 = 6 -3n = 6 Divide each side by '-3'. n = -2 Simplifying n = -2
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