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Simplifying 2 * 0.13 + 2.5 * 0.25 + 3.5 * 0.21 + 4 * 0.09 + 4.5 * 0.02 + 3c = 1 Multiply 2 * 0.13 0.26 + 2.5 * 0.25 + 3.5 * 0.21 + 4 * 0.09 + 4.5 * 0.02 + 3c = 1 Multiply 2.5 * 0.25 0.26 + 0.625 + 3.5 * 0.21 + 4 * 0.09 + 4.5 * 0.02 + 3c = 1 Multiply 3.5 * 0.21 0.26 + 0.625 + 0.735 + 4 * 0.09 + 4.5 * 0.02 + 3c = 1 Multiply 4 * 0.09 0.26 + 0.625 + 0.735 + 0.36 + 4.5 * 0.02 + 3c = 1 Multiply 4.5 * 0.02 0.26 + 0.625 + 0.735 + 0.36 + 0.09 + 3c = 1 Combine like terms: 0.26 + 0.625 = 0.885 0.885 + 0.735 + 0.36 + 0.09 + 3c = 1 Combine like terms: 0.885 + 0.735 = 1.62 1.62 + 0.36 + 0.09 + 3c = 1 Combine like terms: 1.62 + 0.36 = 1.98 1.98 + 0.09 + 3c = 1 Combine like terms: 1.98 + 0.09 = 2.07 2.07 + 3c = 1 Solving 2.07 + 3c = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2.07' to each side of the equation. 2.07 + -2.07 + 3c = 1 + -2.07 Combine like terms: 2.07 + -2.07 = 0.00 0.00 + 3c = 1 + -2.07 3c = 1 + -2.07 Combine like terms: 1 + -2.07 = -1.07 3c = -1.07 Divide each side by '3'. c = -0.3566666667 Simplifying c = -0.3566666667
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