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Simplifying 3(5n + -7) = 5(8n + 11) Reorder the terms: 3(-7 + 5n) = 5(8n + 11) (-7 * 3 + 5n * 3) = 5(8n + 11) (-21 + 15n) = 5(8n + 11) Reorder the terms: -21 + 15n = 5(11 + 8n) -21 + 15n = (11 * 5 + 8n * 5) -21 + 15n = (55 + 40n) Solving -21 + 15n = 55 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -21 + 15n + -40n = 55 + 40n + -40n Combine like terms: 15n + -40n = -25n -21 + -25n = 55 + 40n + -40n Combine like terms: 40n + -40n = 0 -21 + -25n = 55 + 0 -21 + -25n = 55 Add '21' to each side of the equation. -21 + 21 + -25n = 55 + 21 Combine like terms: -21 + 21 = 0 0 + -25n = 55 + 21 -25n = 55 + 21 Combine like terms: 55 + 21 = 76 -25n = 76 Divide each side by '-25'. n = -3.04 Simplifying n = -3.04
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