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Simplifying -10 + -4 = 6n + -5(3 + n) Combine like terms: -10 + -4 = -14 -14 = 6n + -5(3 + n) -14 = 6n + (3 * -5 + n * -5) -14 = 6n + (-15 + -5n) Reorder the terms: -14 = -15 + 6n + -5n Combine like terms: 6n + -5n = 1n -14 = -15 + 1n Solving -14 = -15 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -14 + -1n = -15 + 1n + -1n Combine like terms: 1n + -1n = 0 -14 + -1n = -15 + 0 -14 + -1n = -15 Add '14' to each side of the equation. -14 + 14 + -1n = -15 + 14 Combine like terms: -14 + 14 = 0 0 + -1n = -15 + 14 -1n = -15 + 14 Combine like terms: -15 + 14 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1
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