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Simplifying 8 + -1c(c + 4) = 3c + -1c(c + 2) + 5 Reorder the terms: 8 + -1c(4 + c) = 3c + -1c(c + 2) + 5 8 + (4 * -1c + c * -1c) = 3c + -1c(c + 2) + 5 8 + (-4c + -1c2) = 3c + -1c(c + 2) + 5 Reorder the terms: 8 + -4c + -1c2 = 3c + -1c(2 + c) + 5 8 + -4c + -1c2 = 3c + (2 * -1c + c * -1c) + 5 8 + -4c + -1c2 = 3c + (-2c + -1c2) + 5 Reorder the terms: 8 + -4c + -1c2 = 5 + 3c + -2c + -1c2 Combine like terms: 3c + -2c = 1c 8 + -4c + -1c2 = 5 + 1c + -1c2 Add 'c2' to each side of the equation. 8 + -4c + -1c2 + c2 = 5 + 1c + -1c2 + c2 Combine like terms: -1c2 + c2 = 0 8 + -4c + 0 = 5 + 1c + -1c2 + c2 8 + -4c = 5 + 1c + -1c2 + c2 Combine like terms: -1c2 + c2 = 0 8 + -4c = 5 + 1c + 0 8 + -4c = 5 + 1c Solving 8 + -4c = 5 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 8 + -4c + -1c = 5 + 1c + -1c Combine like terms: -4c + -1c = -5c 8 + -5c = 5 + 1c + -1c Combine like terms: 1c + -1c = 0 8 + -5c = 5 + 0 8 + -5c = 5 Add '-8' to each side of the equation. 8 + -8 + -5c = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -5c = 5 + -8 -5c = 5 + -8 Combine like terms: 5 + -8 = -3 -5c = -3 Divide each side by '-5'. c = 0.6 Simplifying c = 0.6
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