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Simplifying -3(4 + 7n) + -7 = 4n + 32 (4 * -3 + 7n * -3) + -7 = 4n + 32 (-12 + -21n) + -7 = 4n + 32 Reorder the terms: -12 + -7 + -21n = 4n + 32 Combine like terms: -12 + -7 = -19 -19 + -21n = 4n + 32 Reorder the terms: -19 + -21n = 32 + 4n Solving -19 + -21n = 32 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -19 + -21n + -4n = 32 + 4n + -4n Combine like terms: -21n + -4n = -25n -19 + -25n = 32 + 4n + -4n Combine like terms: 4n + -4n = 0 -19 + -25n = 32 + 0 -19 + -25n = 32 Add '19' to each side of the equation. -19 + 19 + -25n = 32 + 19 Combine like terms: -19 + 19 = 0 0 + -25n = 32 + 19 -25n = 32 + 19 Combine like terms: 32 + 19 = 51 -25n = 51 Divide each side by '-25'. n = -2.04 Simplifying n = -2.04
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