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Simplifying 100 = 5(7n + 4) + -30 Reorder the terms: 100 = 5(4 + 7n) + -30 100 = (4 * 5 + 7n * 5) + -30 100 = (20 + 35n) + -30 Reorder the terms: 100 = 20 + -30 + 35n Combine like terms: 20 + -30 = -10 100 = -10 + 35n Solving 100 = -10 + 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. 100 + -35n = -10 + 35n + -35n Combine like terms: 35n + -35n = 0 100 + -35n = -10 + 0 100 + -35n = -10 Add '-100' to each side of the equation. 100 + -100 + -35n = -10 + -100 Combine like terms: 100 + -100 = 0 0 + -35n = -10 + -100 -35n = -10 + -100 Combine like terms: -10 + -100 = -110 -35n = -110 Divide each side by '-35'. n = 3.142857143 Simplifying n = 3.142857143
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