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Simplifying -6(n + 8) + -1(4n + -10) = -2n + 9 + n + 7 Reorder the terms: -6(8 + n) + -1(4n + -10) = -2n + 9 + n + 7 (8 * -6 + n * -6) + -1(4n + -10) = -2n + 9 + n + 7 (-48 + -6n) + -1(4n + -10) = -2n + 9 + n + 7 Reorder the terms: -48 + -6n + -1(-10 + 4n) = -2n + 9 + n + 7 -48 + -6n + (-10 * -1 + 4n * -1) = -2n + 9 + n + 7 -48 + -6n + (10 + -4n) = -2n + 9 + n + 7 Reorder the terms: -48 + 10 + -6n + -4n = -2n + 9 + n + 7 Combine like terms: -48 + 10 = -38 -38 + -6n + -4n = -2n + 9 + n + 7 Combine like terms: -6n + -4n = -10n -38 + -10n = -2n + 9 + n + 7 Reorder the terms: -38 + -10n = 9 + 7 + -2n + n Combine like terms: 9 + 7 = 16 -38 + -10n = 16 + -2n + n Combine like terms: -2n + n = -1n -38 + -10n = 16 + -1n Solving -38 + -10n = 16 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -38 + -10n + n = 16 + -1n + n Combine like terms: -10n + n = -9n -38 + -9n = 16 + -1n + n Combine like terms: -1n + n = 0 -38 + -9n = 16 + 0 -38 + -9n = 16 Add '38' to each side of the equation. -38 + 38 + -9n = 16 + 38 Combine like terms: -38 + 38 = 0 0 + -9n = 16 + 38 -9n = 16 + 38 Combine like terms: 16 + 38 = 54 -9n = 54 Divide each side by '-9'. n = -6 Simplifying n = -6
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