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Simplifying (7n + -3) * 2 = -1n + 114 Reorder the terms: (-3 + 7n) * 2 = -1n + 114 Reorder the terms for easier multiplication: 2(-3 + 7n) = -1n + 114 (-3 * 2 + 7n * 2) = -1n + 114 (-6 + 14n) = -1n + 114 Reorder the terms: -6 + 14n = 114 + -1n Solving -6 + 14n = 114 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -6 + 14n + n = 114 + -1n + n Combine like terms: 14n + n = 15n -6 + 15n = 114 + -1n + n Combine like terms: -1n + n = 0 -6 + 15n = 114 + 0 -6 + 15n = 114 Add '6' to each side of the equation. -6 + 6 + 15n = 114 + 6 Combine like terms: -6 + 6 = 0 0 + 15n = 114 + 6 15n = 114 + 6 Combine like terms: 114 + 6 = 120 15n = 120 Divide each side by '15'. n = 8 Simplifying n = 8
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