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Simplifying 2(n + -6) = (5n + -43) * 3 Reorder the terms: 2(-6 + n) = (5n + -43) * 3 (-6 * 2 + n * 2) = (5n + -43) * 3 (-12 + 2n) = (5n + -43) * 3 Reorder the terms: -12 + 2n = (-43 + 5n) * 3 Reorder the terms for easier multiplication: -12 + 2n = 3(-43 + 5n) -12 + 2n = (-43 * 3 + 5n * 3) -12 + 2n = (-129 + 15n) Solving -12 + 2n = -129 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -12 + 2n + -15n = -129 + 15n + -15n Combine like terms: 2n + -15n = -13n -12 + -13n = -129 + 15n + -15n Combine like terms: 15n + -15n = 0 -12 + -13n = -129 + 0 -12 + -13n = -129 Add '12' to each side of the equation. -12 + 12 + -13n = -129 + 12 Combine like terms: -12 + 12 = 0 0 + -13n = -129 + 12 -13n = -129 + 12 Combine like terms: -129 + 12 = -117 -13n = -117 Divide each side by '-13'. n = 9 Simplifying n = 9
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