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Simplifying 6(2n + -8) = 16(2n + 8) Reorder the terms: 6(-8 + 2n) = 16(2n + 8) (-8 * 6 + 2n * 6) = 16(2n + 8) (-48 + 12n) = 16(2n + 8) Reorder the terms: -48 + 12n = 16(8 + 2n) -48 + 12n = (8 * 16 + 2n * 16) -48 + 12n = (128 + 32n) Solving -48 + 12n = 128 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. -48 + 12n + -32n = 128 + 32n + -32n Combine like terms: 12n + -32n = -20n -48 + -20n = 128 + 32n + -32n Combine like terms: 32n + -32n = 0 -48 + -20n = 128 + 0 -48 + -20n = 128 Add '48' to each side of the equation. -48 + 48 + -20n = 128 + 48 Combine like terms: -48 + 48 = 0 0 + -20n = 128 + 48 -20n = 128 + 48 Combine like terms: 128 + 48 = 176 -20n = 176 Divide each side by '-20'. n = -8.8 Simplifying n = -8.8
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