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Simplifying 3(5n + -3) = -1(n + -7) Reorder the terms: 3(-3 + 5n) = -1(n + -7) (-3 * 3 + 5n * 3) = -1(n + -7) (-9 + 15n) = -1(n + -7) Reorder the terms: -9 + 15n = -1(-7 + n) -9 + 15n = (-7 * -1 + n * -1) -9 + 15n = (7 + -1n) Solving -9 + 15n = 7 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -9 + 15n + n = 7 + -1n + n Combine like terms: 15n + n = 16n -9 + 16n = 7 + -1n + n Combine like terms: -1n + n = 0 -9 + 16n = 7 + 0 -9 + 16n = 7 Add '9' to each side of the equation. -9 + 9 + 16n = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 16n = 7 + 9 16n = 7 + 9 Combine like terms: 7 + 9 = 16 16n = 16 Divide each side by '16'. n = 1 Simplifying n = 1
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