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Simplifying -4(7 + n) = -3n + -4(7 + 4n) (7 * -4 + n * -4) = -3n + -4(7 + 4n) (-28 + -4n) = -3n + -4(7 + 4n) -28 + -4n = -3n + (7 * -4 + 4n * -4) -28 + -4n = -3n + (-28 + -16n) Reorder the terms: -28 + -4n = -28 + -3n + -16n Combine like terms: -3n + -16n = -19n -28 + -4n = -28 + -19n Add '28' to each side of the equation. -28 + 28 + -4n = -28 + 28 + -19n Combine like terms: -28 + 28 = 0 0 + -4n = -28 + 28 + -19n -4n = -28 + 28 + -19n Combine like terms: -28 + 28 = 0 -4n = 0 + -19n -4n = -19n Solving -4n = -19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19n' to each side of the equation. -4n + 19n = -19n + 19n Combine like terms: -4n + 19n = 15n 15n = -19n + 19n Combine like terms: -19n + 19n = 0 15n = 0 Divide each side by '15'. n = 0 Simplifying n = 0
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