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Simplifying -3 = 4(n + -4) + 3(7n + -4) Reorder the terms: -3 = 4(-4 + n) + 3(7n + -4) -3 = (-4 * 4 + n * 4) + 3(7n + -4) -3 = (-16 + 4n) + 3(7n + -4) Reorder the terms: -3 = -16 + 4n + 3(-4 + 7n) -3 = -16 + 4n + (-4 * 3 + 7n * 3) -3 = -16 + 4n + (-12 + 21n) Reorder the terms: -3 = -16 + -12 + 4n + 21n Combine like terms: -16 + -12 = -28 -3 = -28 + 4n + 21n Combine like terms: 4n + 21n = 25n -3 = -28 + 25n Solving -3 = -28 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. -3 + -25n = -28 + 25n + -25n Combine like terms: 25n + -25n = 0 -3 + -25n = -28 + 0 -3 + -25n = -28 Add '3' to each side of the equation. -3 + 3 + -25n = -28 + 3 Combine like terms: -3 + 3 = 0 0 + -25n = -28 + 3 -25n = -28 + 3 Combine like terms: -28 + 3 = -25 -25n = -25 Divide each side by '-25'. n = 1 Simplifying n = 1
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