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Simplifying 3n + -7 = 5(2n + 7) Reorder the terms: -7 + 3n = 5(2n + 7) Reorder the terms: -7 + 3n = 5(7 + 2n) -7 + 3n = (7 * 5 + 2n * 5) -7 + 3n = (35 + 10n) Solving -7 + 3n = 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 + 3n + -10n = 35 + 10n + -10n Combine like terms: 3n + -10n = -7n -7 + -7n = 35 + 10n + -10n Combine like terms: 10n + -10n = 0 -7 + -7n = 35 + 0 -7 + -7n = 35 Add '7' to each side of the equation. -7 + 7 + -7n = 35 + 7 Combine like terms: -7 + 7 = 0 0 + -7n = 35 + 7 -7n = 35 + 7 Combine like terms: 35 + 7 = 42 -7n = 42 Divide each side by '-7'. n = -6 Simplifying n = -6
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