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Simplifying 2(7.5c + 4.5) + 2(2.5c + -8) = 803 Reorder the terms: 2(4.5 + 7.5c) + 2(2.5c + -8) = 803 (4.5 * 2 + 7.5c * 2) + 2(2.5c + -8) = 803 (9 + 15c) + 2(2.5c + -8) = 803 Reorder the terms: 9 + 15c + 2(-8 + 2.5c) = 803 9 + 15c + (-8 * 2 + 2.5c * 2) = 803 9 + 15c + (-16 + 5c) = 803 Reorder the terms: 9 + -16 + 15c + 5c = 803 Combine like terms: 9 + -16 = -7 -7 + 15c + 5c = 803 Combine like terms: 15c + 5c = 20c -7 + 20c = 803 Solving -7 + 20c = 803 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 20c = 803 + 7 Combine like terms: -7 + 7 = 0 0 + 20c = 803 + 7 20c = 803 + 7 Combine like terms: 803 + 7 = 810 20c = 810 Divide each side by '20'. c = 40.5 Simplifying c = 40.5
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