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Simplifying -2(4n + 33) + 3(2n + 6) = n + -1(10n + 104) Reorder the terms: -2(33 + 4n) + 3(2n + 6) = n + -1(10n + 104) (33 * -2 + 4n * -2) + 3(2n + 6) = n + -1(10n + 104) (-66 + -8n) + 3(2n + 6) = n + -1(10n + 104) Reorder the terms: -66 + -8n + 3(6 + 2n) = n + -1(10n + 104) -66 + -8n + (6 * 3 + 2n * 3) = n + -1(10n + 104) -66 + -8n + (18 + 6n) = n + -1(10n + 104) Reorder the terms: -66 + 18 + -8n + 6n = n + -1(10n + 104) Combine like terms: -66 + 18 = -48 -48 + -8n + 6n = n + -1(10n + 104) Combine like terms: -8n + 6n = -2n -48 + -2n = n + -1(10n + 104) Reorder the terms: -48 + -2n = n + -1(104 + 10n) -48 + -2n = n + (104 * -1 + 10n * -1) -48 + -2n = n + (-104 + -10n) Reorder the terms: -48 + -2n = -104 + n + -10n Combine like terms: n + -10n = -9n -48 + -2n = -104 + -9n Solving -48 + -2n = -104 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -48 + -2n + 9n = -104 + -9n + 9n Combine like terms: -2n + 9n = 7n -48 + 7n = -104 + -9n + 9n Combine like terms: -9n + 9n = 0 -48 + 7n = -104 + 0 -48 + 7n = -104 Add '48' to each side of the equation. -48 + 48 + 7n = -104 + 48 Combine like terms: -48 + 48 = 0 0 + 7n = -104 + 48 7n = -104 + 48 Combine like terms: -104 + 48 = -56 7n = -56 Divide each side by '7'. n = -8 Simplifying n = -8
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