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Simplifying 2n + -9 = 4(4n + 3) + 7 Reorder the terms: -9 + 2n = 4(4n + 3) + 7 Reorder the terms: -9 + 2n = 4(3 + 4n) + 7 -9 + 2n = (3 * 4 + 4n * 4) + 7 -9 + 2n = (12 + 16n) + 7 Reorder the terms: -9 + 2n = 12 + 7 + 16n Combine like terms: 12 + 7 = 19 -9 + 2n = 19 + 16n Solving -9 + 2n = 19 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -9 + 2n + -16n = 19 + 16n + -16n Combine like terms: 2n + -16n = -14n -9 + -14n = 19 + 16n + -16n Combine like terms: 16n + -16n = 0 -9 + -14n = 19 + 0 -9 + -14n = 19 Add '9' to each side of the equation. -9 + 9 + -14n = 19 + 9 Combine like terms: -9 + 9 = 0 0 + -14n = 19 + 9 -14n = 19 + 9 Combine like terms: 19 + 9 = 28 -14n = 28 Divide each side by '-14'. n = -2 Simplifying n = -2
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