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Simplifying 5(n + 1) = 7(n + -3) + 10 Reorder the terms: 5(1 + n) = 7(n + -3) + 10 (1 * 5 + n * 5) = 7(n + -3) + 10 (5 + 5n) = 7(n + -3) + 10 Reorder the terms: 5 + 5n = 7(-3 + n) + 10 5 + 5n = (-3 * 7 + n * 7) + 10 5 + 5n = (-21 + 7n) + 10 Reorder the terms: 5 + 5n = -21 + 10 + 7n Combine like terms: -21 + 10 = -11 5 + 5n = -11 + 7n Solving 5 + 5n = -11 + 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. 5 + 5n + -7n = -11 + 7n + -7n Combine like terms: 5n + -7n = -2n 5 + -2n = -11 + 7n + -7n Combine like terms: 7n + -7n = 0 5 + -2n = -11 + 0 5 + -2n = -11 Add '-5' to each side of the equation. 5 + -5 + -2n = -11 + -5 Combine like terms: 5 + -5 = 0 0 + -2n = -11 + -5 -2n = -11 + -5 Combine like terms: -11 + -5 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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