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Simplifying 7 + 5(n + -6) = 4(3n + 10) Reorder the terms: 7 + 5(-6 + n) = 4(3n + 10) 7 + (-6 * 5 + n * 5) = 4(3n + 10) 7 + (-30 + 5n) = 4(3n + 10) Combine like terms: 7 + -30 = -23 -23 + 5n = 4(3n + 10) Reorder the terms: -23 + 5n = 4(10 + 3n) -23 + 5n = (10 * 4 + 3n * 4) -23 + 5n = (40 + 12n) Solving -23 + 5n = 40 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -23 + 5n + -12n = 40 + 12n + -12n Combine like terms: 5n + -12n = -7n -23 + -7n = 40 + 12n + -12n Combine like terms: 12n + -12n = 0 -23 + -7n = 40 + 0 -23 + -7n = 40 Add '23' to each side of the equation. -23 + 23 + -7n = 40 + 23 Combine like terms: -23 + 23 = 0 0 + -7n = 40 + 23 -7n = 40 + 23 Combine like terms: 40 + 23 = 63 -7n = 63 Divide each side by '-7'. n = -9 Simplifying n = -9
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