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Simplifying -66 + 17n = -63(n + -61) + -69 Reorder the terms: -66 + 17n = -63(-61 + n) + -69 -66 + 17n = (-61 * -63 + n * -63) + -69 -66 + 17n = (3843 + -63n) + -69 Reorder the terms: -66 + 17n = 3843 + -69 + -63n Combine like terms: 3843 + -69 = 3774 -66 + 17n = 3774 + -63n Solving -66 + 17n = 3774 + -63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '63n' to each side of the equation. -66 + 17n + 63n = 3774 + -63n + 63n Combine like terms: 17n + 63n = 80n -66 + 80n = 3774 + -63n + 63n Combine like terms: -63n + 63n = 0 -66 + 80n = 3774 + 0 -66 + 80n = 3774 Add '66' to each side of the equation. -66 + 66 + 80n = 3774 + 66 Combine like terms: -66 + 66 = 0 0 + 80n = 3774 + 66 80n = 3774 + 66 Combine like terms: 3774 + 66 = 3840 80n = 3840 Divide each side by '80'. n = 48 Simplifying n = 48
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