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Simplifying 6(-11 + 2n) + -2n = -7(-1n + 3) (-11 * 6 + 2n * 6) + -2n = -7(-1n + 3) (-66 + 12n) + -2n = -7(-1n + 3) Combine like terms: 12n + -2n = 10n -66 + 10n = -7(-1n + 3) Reorder the terms: -66 + 10n = -7(3 + -1n) -66 + 10n = (3 * -7 + -1n * -7) -66 + 10n = (-21 + 7n) Solving -66 + 10n = -21 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -66 + 10n + -7n = -21 + 7n + -7n Combine like terms: 10n + -7n = 3n -66 + 3n = -21 + 7n + -7n Combine like terms: 7n + -7n = 0 -66 + 3n = -21 + 0 -66 + 3n = -21 Add '66' to each side of the equation. -66 + 66 + 3n = -21 + 66 Combine like terms: -66 + 66 = 0 0 + 3n = -21 + 66 3n = -21 + 66 Combine like terms: -21 + 66 = 45 3n = 45 Divide each side by '3'. n = 15 Simplifying n = 15
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