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Simplifying 28(1 + n) = 2(19n + -16) (1 * 28 + n * 28) = 2(19n + -16) (28 + 28n) = 2(19n + -16) Reorder the terms: 28 + 28n = 2(-16 + 19n) 28 + 28n = (-16 * 2 + 19n * 2) 28 + 28n = (-32 + 38n) Solving 28 + 28n = -32 + 38n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-38n' to each side of the equation. 28 + 28n + -38n = -32 + 38n + -38n Combine like terms: 28n + -38n = -10n 28 + -10n = -32 + 38n + -38n Combine like terms: 38n + -38n = 0 28 + -10n = -32 + 0 28 + -10n = -32 Add '-28' to each side of the equation. 28 + -28 + -10n = -32 + -28 Combine like terms: 28 + -28 = 0 0 + -10n = -32 + -28 -10n = -32 + -28 Combine like terms: -32 + -28 = -60 -10n = -60 Divide each side by '-10'. n = 6 Simplifying n = 6
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