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Simplifying -43 + 7n = 2(10n + -2) Reorder the terms: -43 + 7n = 2(-2 + 10n) -43 + 7n = (-2 * 2 + 10n * 2) -43 + 7n = (-4 + 20n) Solving -43 + 7n = -4 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -43 + 7n + -20n = -4 + 20n + -20n Combine like terms: 7n + -20n = -13n -43 + -13n = -4 + 20n + -20n Combine like terms: 20n + -20n = 0 -43 + -13n = -4 + 0 -43 + -13n = -4 Add '43' to each side of the equation. -43 + 43 + -13n = -4 + 43 Combine like terms: -43 + 43 = 0 0 + -13n = -4 + 43 -13n = -4 + 43 Combine like terms: -4 + 43 = 39 -13n = 39 Divide each side by '-13'. n = -3 Simplifying n = -3
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