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Simplifying -1.49(6.2n + -1.26) + -3.67(1 + 2.37n) = 2.8n + -1.3n Reorder the terms: -1.49(-1.26 + 6.2n) + -3.67(1 + 2.37n) = 2.8n + -1.3n (-1.26 * -1.49 + 6.2n * -1.49) + -3.67(1 + 2.37n) = 2.8n + -1.3n (1.8774 + -9.238n) + -3.67(1 + 2.37n) = 2.8n + -1.3n 1.8774 + -9.238n + (1 * -3.67 + 2.37n * -3.67) = 2.8n + -1.3n 1.8774 + -9.238n + (-3.67 + -8.6979n) = 2.8n + -1.3n Reorder the terms: 1.8774 + -3.67 + -9.238n + -8.6979n = 2.8n + -1.3n Combine like terms: 1.8774 + -3.67 = -1.7926 -1.7926 + -9.238n + -8.6979n = 2.8n + -1.3n Combine like terms: -9.238n + -8.6979n = -17.9359n -1.7926 + -17.9359n = 2.8n + -1.3n Combine like terms: 2.8n + -1.3n = 1.5n -1.7926 + -17.9359n = 1.5n Solving -1.7926 + -17.9359n = 1.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5n' to each side of the equation. -1.7926 + -17.9359n + -1.5n = 1.5n + -1.5n Combine like terms: -17.9359n + -1.5n = -19.4359n -1.7926 + -19.4359n = 1.5n + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 -1.7926 + -19.4359n = 0.0 Add '1.7926' to each side of the equation. -1.7926 + 1.7926 + -19.4359n = 0.0 + 1.7926 Combine like terms: -1.7926 + 1.7926 = 0.0000 0.0000 + -19.4359n = 0.0 + 1.7926 -19.4359n = 0.0 + 1.7926 Combine like terms: 0.0 + 1.7926 = 1.7926 -19.4359n = 1.7926 Divide each side by '-19.4359'. n = -0.09223138625 Simplifying n = -0.09223138625
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