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Simplifying 1.25(-8c + 16) + -0.33(6 + 3c) = 0 Reorder the terms: 1.25(16 + -8c) + -0.33(6 + 3c) = 0 (16 * 1.25 + -8c * 1.25) + -0.33(6 + 3c) = 0 (20 + -10c) + -0.33(6 + 3c) = 0 20 + -10c + (6 * -0.33 + 3c * -0.33) = 0 20 + -10c + (-1.98 + -0.99c) = 0 Reorder the terms: 20 + -1.98 + -10c + -0.99c = 0 Combine like terms: 20 + -1.98 = 18.02 18.02 + -10c + -0.99c = 0 Combine like terms: -10c + -0.99c = -10.99c 18.02 + -10.99c = 0 Solving 18.02 + -10.99c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18.02' to each side of the equation. 18.02 + -18.02 + -10.99c = 0 + -18.02 Combine like terms: 18.02 + -18.02 = 0.00 0.00 + -10.99c = 0 + -18.02 -10.99c = 0 + -18.02 Combine like terms: 0 + -18.02 = -18.02 -10.99c = -18.02 Divide each side by '-10.99'. c = 1.639672429 Simplifying c = 1.639672429
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