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Simplifying 3 + -2(4n + 3) + -7 = 2n + 1 Reorder the terms: 3 + -2(3 + 4n) + -7 = 2n + 1 3 + (3 * -2 + 4n * -2) + -7 = 2n + 1 3 + (-6 + -8n) + -7 = 2n + 1 Reorder the terms: 3 + -6 + -7 + -8n = 2n + 1 Combine like terms: 3 + -6 = -3 -3 + -7 + -8n = 2n + 1 Combine like terms: -3 + -7 = -10 -10 + -8n = 2n + 1 Reorder the terms: -10 + -8n = 1 + 2n Solving -10 + -8n = 1 + 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. -10 + -8n + -2n = 1 + 2n + -2n Combine like terms: -8n + -2n = -10n -10 + -10n = 1 + 2n + -2n Combine like terms: 2n + -2n = 0 -10 + -10n = 1 + 0 -10 + -10n = 1 Add '10' to each side of the equation. -10 + 10 + -10n = 1 + 10 Combine like terms: -10 + 10 = 0 0 + -10n = 1 + 10 -10n = 1 + 10 Combine like terms: 1 + 10 = 11 -10n = 11 Divide each side by '-10'. n = -1.1 Simplifying n = -1.1
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