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Simplifying -5n + 19 = -1n + 3(2n + -7) Reorder the terms: 19 + -5n = -1n + 3(2n + -7) Reorder the terms: 19 + -5n = -1n + 3(-7 + 2n) 19 + -5n = -1n + (-7 * 3 + 2n * 3) 19 + -5n = -1n + (-21 + 6n) Reorder the terms: 19 + -5n = -21 + -1n + 6n Combine like terms: -1n + 6n = 5n 19 + -5n = -21 + 5n Solving 19 + -5n = -21 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 19 + -5n + -5n = -21 + 5n + -5n Combine like terms: -5n + -5n = -10n 19 + -10n = -21 + 5n + -5n Combine like terms: 5n + -5n = 0 19 + -10n = -21 + 0 19 + -10n = -21 Add '-19' to each side of the equation. 19 + -19 + -10n = -21 + -19 Combine like terms: 19 + -19 = 0 0 + -10n = -21 + -19 -10n = -21 + -19 Combine like terms: -21 + -19 = -40 -10n = -40 Divide each side by '-10'. n = 4 Simplifying n = 4
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