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Simplifying -10 + -16n = 4n + 2(-9n + 1) Reorder the terms: -10 + -16n = 4n + 2(1 + -9n) -10 + -16n = 4n + (1 * 2 + -9n * 2) -10 + -16n = 4n + (2 + -18n) Reorder the terms: -10 + -16n = 2 + 4n + -18n Combine like terms: 4n + -18n = -14n -10 + -16n = 2 + -14n Solving -10 + -16n = 2 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -10 + -16n + 14n = 2 + -14n + 14n Combine like terms: -16n + 14n = -2n -10 + -2n = 2 + -14n + 14n Combine like terms: -14n + 14n = 0 -10 + -2n = 2 + 0 -10 + -2n = 2 Add '10' to each side of the equation. -10 + 10 + -2n = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -2n = 2 + 10 -2n = 2 + 10 Combine like terms: 2 + 10 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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