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Simplifying 7(4n + -15) = 19 + -7n + 16 Reorder the terms: 7(-15 + 4n) = 19 + -7n + 16 (-15 * 7 + 4n * 7) = 19 + -7n + 16 (-105 + 28n) = 19 + -7n + 16 Reorder the terms: -105 + 28n = 19 + 16 + -7n Combine like terms: 19 + 16 = 35 -105 + 28n = 35 + -7n Solving -105 + 28n = 35 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -105 + 28n + 7n = 35 + -7n + 7n Combine like terms: 28n + 7n = 35n -105 + 35n = 35 + -7n + 7n Combine like terms: -7n + 7n = 0 -105 + 35n = 35 + 0 -105 + 35n = 35 Add '105' to each side of the equation. -105 + 105 + 35n = 35 + 105 Combine like terms: -105 + 105 = 0 0 + 35n = 35 + 105 35n = 35 + 105 Combine like terms: 35 + 105 = 140 35n = 140 Divide each side by '35'. n = 4 Simplifying n = 4
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