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Simplifying 7 = -5(5 + 7n) + -3 7 = (5 * -5 + 7n * -5) + -3 7 = (-25 + -35n) + -3 Reorder the terms: 7 = -25 + -3 + -35n Combine like terms: -25 + -3 = -28 7 = -28 + -35n Solving 7 = -28 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 7 + 35n = -28 + -35n + 35n Combine like terms: -35n + 35n = 0 7 + 35n = -28 + 0 7 + 35n = -28 Add '-7' to each side of the equation. 7 + -7 + 35n = -28 + -7 Combine like terms: 7 + -7 = 0 0 + 35n = -28 + -7 35n = -28 + -7 Combine like terms: -28 + -7 = -35 35n = -35 Divide each side by '35'. n = -1 Simplifying n = -1
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