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Simplifying -6(3n + 2) + 3n = -4(n + 1) + -3n Reorder the terms: -6(2 + 3n) + 3n = -4(n + 1) + -3n (2 * -6 + 3n * -6) + 3n = -4(n + 1) + -3n (-12 + -18n) + 3n = -4(n + 1) + -3n Combine like terms: -18n + 3n = -15n -12 + -15n = -4(n + 1) + -3n Reorder the terms: -12 + -15n = -4(1 + n) + -3n -12 + -15n = (1 * -4 + n * -4) + -3n -12 + -15n = (-4 + -4n) + -3n Combine like terms: -4n + -3n = -7n -12 + -15n = -4 + -7n Solving -12 + -15n = -4 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -12 + -15n + 7n = -4 + -7n + 7n Combine like terms: -15n + 7n = -8n -12 + -8n = -4 + -7n + 7n Combine like terms: -7n + 7n = 0 -12 + -8n = -4 + 0 -12 + -8n = -4 Add '12' to each side of the equation. -12 + 12 + -8n = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -8n = -4 + 12 -8n = -4 + 12 Combine like terms: -4 + 12 = 8 -8n = 8 Divide each side by '-8'. n = -1 Simplifying n = -1
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