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Simplifying 3n + -5 + -8(6x + 1) = 43 Reorder the terms: 3n + -5 + -8(1 + 6x) = 43 3n + -5 + (1 * -8 + 6x * -8) = 43 3n + -5 + (-8 + -48x) = 43 Reorder the terms: -5 + -8 + 3n + -48x = 43 Combine like terms: -5 + -8 = -13 -13 + 3n + -48x = 43 Solving -13 + 3n + -48x = 43 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 3n + 13 + -48x = 43 + 13 Reorder the terms: -13 + 13 + 3n + -48x = 43 + 13 Combine like terms: -13 + 13 = 0 0 + 3n + -48x = 43 + 13 3n + -48x = 43 + 13 Combine like terms: 43 + 13 = 56 3n + -48x = 56 Add '48x' to each side of the equation. 3n + -48x + 48x = 56 + 48x Combine like terms: -48x + 48x = 0 3n + 0 = 56 + 48x 3n = 56 + 48x Divide each side by '3'. n = 18.66666667 + 16x Simplifying n = 18.66666667 + 16x
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