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Simplifying 38 + -1n = 4 + 6(-7 + 3n) 38 + -1n = 4 + (-7 * 6 + 3n * 6) 38 + -1n = 4 + (-42 + 18n) Combine like terms: 4 + -42 = -38 38 + -1n = -38 + 18n Solving 38 + -1n = -38 + 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 + -1n + -18n = -38 + 18n + -18n Combine like terms: -1n + -18n = -19n 38 + -19n = -38 + 18n + -18n Combine like terms: 18n + -18n = 0 38 + -19n = -38 + 0 38 + -19n = -38 Add '-38' to each side of the equation. 38 + -38 + -19n = -38 + -38 Combine like terms: 38 + -38 = 0 0 + -19n = -38 + -38 -19n = -38 + -38 Combine like terms: -38 + -38 = -76 -19n = -76 Divide each side by '-19'. n = 4 Simplifying n = 4
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