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Simplifying -21 + -8n = 2(-3n + -4) + 1 Reorder the terms: -21 + -8n = 2(-4 + -3n) + 1 -21 + -8n = (-4 * 2 + -3n * 2) + 1 -21 + -8n = (-8 + -6n) + 1 Reorder the terms: -21 + -8n = -8 + 1 + -6n Combine like terms: -8 + 1 = -7 -21 + -8n = -7 + -6n Solving -21 + -8n = -7 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -21 + -8n + 6n = -7 + -6n + 6n Combine like terms: -8n + 6n = -2n -21 + -2n = -7 + -6n + 6n Combine like terms: -6n + 6n = 0 -21 + -2n = -7 + 0 -21 + -2n = -7 Add '21' to each side of the equation. -21 + 21 + -2n = -7 + 21 Combine like terms: -21 + 21 = 0 0 + -2n = -7 + 21 -2n = -7 + 21 Combine like terms: -7 + 21 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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