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Simplifying n + -7 = -16 + 1 + 5n + -3n Reorder the terms: -7 + n = -16 + 1 + 5n + -3n Combine like terms: -16 + 1 = -15 -7 + n = -15 + 5n + -3n Combine like terms: 5n + -3n = 2n -7 + n = -15 + 2n Solving -7 + n = -15 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -7 + n + -2n = -15 + 2n + -2n Combine like terms: n + -2n = -1n -7 + -1n = -15 + 2n + -2n Combine like terms: 2n + -2n = 0 -7 + -1n = -15 + 0 -7 + -1n = -15 Add '7' to each side of the equation. -7 + 7 + -1n = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -1n = -15 + 7 -1n = -15 + 7 Combine like terms: -15 + 7 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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