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Simplifying 7(2y + -1) + 3n = -3(1y + 2) + 9 Reorder the terms: 7(-1 + 2y) + 3n = -3(1y + 2) + 9 (-1 * 7 + 2y * 7) + 3n = -3(1y + 2) + 9 (-7 + 14y) + 3n = -3(1y + 2) + 9 Reorder the terms: -7 + 3n + 14y = -3(1y + 2) + 9 Reorder the terms: -7 + 3n + 14y = -3(2 + 1y) + 9 -7 + 3n + 14y = (2 * -3 + 1y * -3) + 9 -7 + 3n + 14y = (-6 + -3y) + 9 Reorder the terms: -7 + 3n + 14y = -6 + 9 + -3y Combine like terms: -6 + 9 = 3 -7 + 3n + 14y = 3 + -3y Solving -7 + 3n + 14y = 3 + -3y Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 3n + 7 + 14y = 3 + 7 + -3y Reorder the terms: -7 + 7 + 3n + 14y = 3 + 7 + -3y Combine like terms: -7 + 7 = 0 0 + 3n + 14y = 3 + 7 + -3y 3n + 14y = 3 + 7 + -3y Combine like terms: 3 + 7 = 10 3n + 14y = 10 + -3y Add '-14y' to each side of the equation. 3n + 14y + -14y = 10 + -3y + -14y Combine like terms: 14y + -14y = 0 3n + 0 = 10 + -3y + -14y 3n = 10 + -3y + -14y Combine like terms: -3y + -14y = -17y 3n = 10 + -17y Divide each side by '3'. n = 3.333333333 + -5.666666667y Simplifying n = 3.333333333 + -5.666666667y
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