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Simplifying 114 = 4(6 + -7n) + 6 114 = (6 * 4 + -7n * 4) + 6 114 = (24 + -28n) + 6 Reorder the terms: 114 = 24 + 6 + -28n Combine like terms: 24 + 6 = 30 114 = 30 + -28n Solving 114 = 30 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 114 + 28n = 30 + -28n + 28n Combine like terms: -28n + 28n = 0 114 + 28n = 30 + 0 114 + 28n = 30 Add '-114' to each side of the equation. 114 + -114 + 28n = 30 + -114 Combine like terms: 114 + -114 = 0 0 + 28n = 30 + -114 28n = 30 + -114 Combine like terms: 30 + -114 = -84 28n = -84 Divide each side by '28'. n = -3 Simplifying n = -3
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