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Simplifying 0.25(4c + 8) + -1(8c + -5) = 0 Reorder the terms: 0.25(8 + 4c) + -1(8c + -5) = 0 (8 * 0.25 + 4c * 0.25) + -1(8c + -5) = 0 (2 + 1c) + -1(8c + -5) = 0 Reorder the terms: 2 + 1c + -1(-5 + 8c) = 0 2 + 1c + (-5 * -1 + 8c * -1) = 0 2 + 1c + (5 + -8c) = 0 Reorder the terms: 2 + 5 + 1c + -8c = 0 Combine like terms: 2 + 5 = 7 7 + 1c + -8c = 0 Combine like terms: 1c + -8c = -7c 7 + -7c = 0 Solving 7 + -7c = 0 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 + -7c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7c = 0 + -7 -7c = 0 + -7 Combine like terms: 0 + -7 = -7 -7c = -7 Divide each side by '-7'. c = 1 Simplifying c = 1
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