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Simplifying -8 + -3n = -2n + -8(6n + 1) Reorder the terms: -8 + -3n = -2n + -8(1 + 6n) -8 + -3n = -2n + (1 * -8 + 6n * -8) -8 + -3n = -2n + (-8 + -48n) Reorder the terms: -8 + -3n = -8 + -2n + -48n Combine like terms: -2n + -48n = -50n -8 + -3n = -8 + -50n Add '8' to each side of the equation. -8 + 8 + -3n = -8 + 8 + -50n Combine like terms: -8 + 8 = 0 0 + -3n = -8 + 8 + -50n -3n = -8 + 8 + -50n Combine like terms: -8 + 8 = 0 -3n = 0 + -50n -3n = -50n Solving -3n = -50n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '50n' to each side of the equation. -3n + 50n = -50n + 50n Combine like terms: -3n + 50n = 47n 47n = -50n + 50n Combine like terms: -50n + 50n = 0 47n = 0 Divide each side by '47'. n = 0 Simplifying n = 0
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