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Simplifying 8(7n + 4) + -5n = n + -18 Reorder the terms: 8(4 + 7n) + -5n = n + -18 (4 * 8 + 7n * 8) + -5n = n + -18 (32 + 56n) + -5n = n + -18 Combine like terms: 56n + -5n = 51n 32 + 51n = n + -18 Reorder the terms: 32 + 51n = -18 + n Solving 32 + 51n = -18 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 32 + 51n + -1n = -18 + n + -1n Combine like terms: 51n + -1n = 50n 32 + 50n = -18 + n + -1n Combine like terms: n + -1n = 0 32 + 50n = -18 + 0 32 + 50n = -18 Add '-32' to each side of the equation. 32 + -32 + 50n = -18 + -32 Combine like terms: 32 + -32 = 0 0 + 50n = -18 + -32 50n = -18 + -32 Combine like terms: -18 + -32 = -50 50n = -50 Divide each side by '50'. n = -1 Simplifying n = -1
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