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Simplifying -15 + 2n = -7 + -3(1 + n) -15 + 2n = -7 + (1 * -3 + n * -3) -15 + 2n = -7 + (-3 + -3n) Combine like terms: -7 + -3 = -10 -15 + 2n = -10 + -3n Solving -15 + 2n = -10 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -15 + 2n + 3n = -10 + -3n + 3n Combine like terms: 2n + 3n = 5n -15 + 5n = -10 + -3n + 3n Combine like terms: -3n + 3n = 0 -15 + 5n = -10 + 0 -15 + 5n = -10 Add '15' to each side of the equation. -15 + 15 + 5n = -10 + 15 Combine like terms: -15 + 15 = 0 0 + 5n = -10 + 15 5n = -10 + 15 Combine like terms: -10 + 15 = 5 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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