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Simplifying 4n + 10n + 5 = -4n + 7(-2n + 19) Reorder the terms: 5 + 4n + 10n = -4n + 7(-2n + 19) Combine like terms: 4n + 10n = 14n 5 + 14n = -4n + 7(-2n + 19) Reorder the terms: 5 + 14n = -4n + 7(19 + -2n) 5 + 14n = -4n + (19 * 7 + -2n * 7) 5 + 14n = -4n + (133 + -14n) Reorder the terms: 5 + 14n = 133 + -4n + -14n Combine like terms: -4n + -14n = -18n 5 + 14n = 133 + -18n Solving 5 + 14n = 133 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 5 + 14n + 18n = 133 + -18n + 18n Combine like terms: 14n + 18n = 32n 5 + 32n = 133 + -18n + 18n Combine like terms: -18n + 18n = 0 5 + 32n = 133 + 0 5 + 32n = 133 Add '-5' to each side of the equation. 5 + -5 + 32n = 133 + -5 Combine like terms: 5 + -5 = 0 0 + 32n = 133 + -5 32n = 133 + -5 Combine like terms: 133 + -5 = 128 32n = 128 Divide each side by '32'. n = 4 Simplifying n = 4
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