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Simplifying -4.1(5.8 + 0.2) + 3.67(2.3 + -5.6n) = -18.9782 Combine like terms: 5.8 + 0.2 = 6 -4.1(6) + 3.67(2.3 + -5.6n) = -18.9782 Multiply -4.1 * 6 -24.6 + 3.67(2.3 + -5.6n) = -18.9782 -24.6 + (2.3 * 3.67 + -5.6n * 3.67) = -18.9782 -24.6 + (8.441 + -20.552n) = -18.9782 Combine like terms: -24.6 + 8.441 = -16.159 -16.159 + -20.552n = -18.9782 Solving -16.159 + -20.552n = -18.9782 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16.159' to each side of the equation. -16.159 + 16.159 + -20.552n = -18.9782 + 16.159 Combine like terms: -16.159 + 16.159 = 0.000 0.000 + -20.552n = -18.9782 + 16.159 -20.552n = -18.9782 + 16.159 Combine like terms: -18.9782 + 16.159 = -2.8192 -20.552n = -2.8192 Divide each side by '-20.552'. n = 0.1371739977 Simplifying n = 0.1371739977
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