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Simplifying 1 + -6(8 + 3n) = -8 + -37 1 + (8 * -6 + 3n * -6) = -8 + -37 1 + (-48 + -18n) = -8 + -37 Combine like terms: 1 + -48 = -47 -47 + -18n = -8 + -37 Combine like terms: -8 + -37 = -45 -47 + -18n = -45 Solving -47 + -18n = -45 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -18n = -45 + 47 Combine like terms: -47 + 47 = 0 0 + -18n = -45 + 47 -18n = -45 + 47 Combine like terms: -45 + 47 = 2 -18n = 2 Divide each side by '-18'. n = -0.1111111111 Simplifying n = -0.1111111111
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