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Simplifying -16n = 7(-6n + 1) + 19n Reorder the terms: -16n = 7(1 + -6n) + 19n -16n = (1 * 7 + -6n * 7) + 19n -16n = (7 + -42n) + 19n Combine like terms: -42n + 19n = -23n -16n = 7 + -23n Solving -16n = 7 + -23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23n' to each side of the equation. -16n + 23n = 7 + -23n + 23n Combine like terms: -16n + 23n = 7n 7n = 7 + -23n + 23n Combine like terms: -23n + 23n = 0 7n = 7 + 0 7n = 7 Divide each side by '7'. n = 1 Simplifying n = 1
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