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Simplifying -7(7 + 3n) + 5n = -6n + 1 (7 * -7 + 3n * -7) + 5n = -6n + 1 (-49 + -21n) + 5n = -6n + 1 Combine like terms: -21n + 5n = -16n -49 + -16n = -6n + 1 Reorder the terms: -49 + -16n = 1 + -6n Solving -49 + -16n = 1 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -49 + -16n + 6n = 1 + -6n + 6n Combine like terms: -16n + 6n = -10n -49 + -10n = 1 + -6n + 6n Combine like terms: -6n + 6n = 0 -49 + -10n = 1 + 0 -49 + -10n = 1 Add '49' to each side of the equation. -49 + 49 + -10n = 1 + 49 Combine like terms: -49 + 49 = 0 0 + -10n = 1 + 49 -10n = 1 + 49 Combine like terms: 1 + 49 = 50 -10n = 50 Divide each side by '-10'. n = -5 Simplifying n = -5
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