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Simplifying 4(n + -6) + 10 = 2(n + -7) + -6 Reorder the terms: 4(-6 + n) + 10 = 2(n + -7) + -6 (-6 * 4 + n * 4) + 10 = 2(n + -7) + -6 (-24 + 4n) + 10 = 2(n + -7) + -6 Reorder the terms: -24 + 10 + 4n = 2(n + -7) + -6 Combine like terms: -24 + 10 = -14 -14 + 4n = 2(n + -7) + -6 Reorder the terms: -14 + 4n = 2(-7 + n) + -6 -14 + 4n = (-7 * 2 + n * 2) + -6 -14 + 4n = (-14 + 2n) + -6 Reorder the terms: -14 + 4n = -14 + -6 + 2n Combine like terms: -14 + -6 = -20 -14 + 4n = -20 + 2n Solving -14 + 4n = -20 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -14 + 4n + -2n = -20 + 2n + -2n Combine like terms: 4n + -2n = 2n -14 + 2n = -20 + 2n + -2n Combine like terms: 2n + -2n = 0 -14 + 2n = -20 + 0 -14 + 2n = -20 Add '14' to each side of the equation. -14 + 14 + 2n = -20 + 14 Combine like terms: -14 + 14 = 0 0 + 2n = -20 + 14 2n = -20 + 14 Combine like terms: -20 + 14 = -6 2n = -6 Divide each side by '2'. n = -3 Simplifying n = -3
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