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Simplifying 4n + -7 = 5(2n + 7) Reorder the terms: -7 + 4n = 5(2n + 7) Reorder the terms: -7 + 4n = 5(7 + 2n) -7 + 4n = (7 * 5 + 2n * 5) -7 + 4n = (35 + 10n) Solving -7 + 4n = 35 + 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. -7 + 4n + -10n = 35 + 10n + -10n Combine like terms: 4n + -10n = -6n -7 + -6n = 35 + 10n + -10n Combine like terms: 10n + -10n = 0 -7 + -6n = 35 + 0 -7 + -6n = 35 Add '7' to each side of the equation. -7 + 7 + -6n = 35 + 7 Combine like terms: -7 + 7 = 0 0 + -6n = 35 + 7 -6n = 35 + 7 Combine like terms: 35 + 7 = 42 -6n = 42 Divide each side by '-6'. n = -7 Simplifying n = -7
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