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Simplifying -4n + 7 = -3(-5n + 6) + 6n Reorder the terms: 7 + -4n = -3(-5n + 6) + 6n Reorder the terms: 7 + -4n = -3(6 + -5n) + 6n 7 + -4n = (6 * -3 + -5n * -3) + 6n 7 + -4n = (-18 + 15n) + 6n Combine like terms: 15n + 6n = 21n 7 + -4n = -18 + 21n Solving 7 + -4n = -18 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 7 + -4n + -21n = -18 + 21n + -21n Combine like terms: -4n + -21n = -25n 7 + -25n = -18 + 21n + -21n Combine like terms: 21n + -21n = 0 7 + -25n = -18 + 0 7 + -25n = -18 Add '-7' to each side of the equation. 7 + -7 + -25n = -18 + -7 Combine like terms: 7 + -7 = 0 0 + -25n = -18 + -7 -25n = -18 + -7 Combine like terms: -18 + -7 = -25 -25n = -25 Divide each side by '-25'. n = 1 Simplifying n = 1
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