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Simplifying -2(5n + -6) = 3(-1n + -3) Reorder the terms: -2(-6 + 5n) = 3(-1n + -3) (-6 * -2 + 5n * -2) = 3(-1n + -3) (12 + -10n) = 3(-1n + -3) Reorder the terms: 12 + -10n = 3(-3 + -1n) 12 + -10n = (-3 * 3 + -1n * 3) 12 + -10n = (-9 + -3n) Solving 12 + -10n = -9 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 12 + -10n + 3n = -9 + -3n + 3n Combine like terms: -10n + 3n = -7n 12 + -7n = -9 + -3n + 3n Combine like terms: -3n + 3n = 0 12 + -7n = -9 + 0 12 + -7n = -9 Add '-12' to each side of the equation. 12 + -12 + -7n = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -7n = -9 + -12 -7n = -9 + -12 Combine like terms: -9 + -12 = -21 -7n = -21 Divide each side by '-7'. n = 3 Simplifying n = 3
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