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Simplifying -8(1 + 3n) + 9n = -2(8n + 3) (1 * -8 + 3n * -8) + 9n = -2(8n + 3) (-8 + -24n) + 9n = -2(8n + 3) Combine like terms: -24n + 9n = -15n -8 + -15n = -2(8n + 3) Reorder the terms: -8 + -15n = -2(3 + 8n) -8 + -15n = (3 * -2 + 8n * -2) -8 + -15n = (-6 + -16n) Solving -8 + -15n = -6 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -8 + -15n + 16n = -6 + -16n + 16n Combine like terms: -15n + 16n = 1n -8 + 1n = -6 + -16n + 16n Combine like terms: -16n + 16n = 0 -8 + 1n = -6 + 0 -8 + 1n = -6 Add '8' to each side of the equation. -8 + 8 + 1n = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 1n = -6 + 8 1n = -6 + 8 Combine like terms: -6 + 8 = 2 1n = 2 Divide each side by '1'. n = 2 Simplifying n = 2
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