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Simplifying 18(c + 7) + -14(7c + 10) = 7c(4c + -7) + -4c(7c + -1) Reorder the terms: 18(7 + c) + -14(7c + 10) = 7c(4c + -7) + -4c(7c + -1) (7 * 18 + c * 18) + -14(7c + 10) = 7c(4c + -7) + -4c(7c + -1) (126 + 18c) + -14(7c + 10) = 7c(4c + -7) + -4c(7c + -1) Reorder the terms: 126 + 18c + -14(10 + 7c) = 7c(4c + -7) + -4c(7c + -1) 126 + 18c + (10 * -14 + 7c * -14) = 7c(4c + -7) + -4c(7c + -1) 126 + 18c + (-140 + -98c) = 7c(4c + -7) + -4c(7c + -1) Reorder the terms: 126 + -140 + 18c + -98c = 7c(4c + -7) + -4c(7c + -1) Combine like terms: 126 + -140 = -14 -14 + 18c + -98c = 7c(4c + -7) + -4c(7c + -1) Combine like terms: 18c + -98c = -80c -14 + -80c = 7c(4c + -7) + -4c(7c + -1) Reorder the terms: -14 + -80c = 7c(-7 + 4c) + -4c(7c + -1) -14 + -80c = (-7 * 7c + 4c * 7c) + -4c(7c + -1) -14 + -80c = (-49c + 28c2) + -4c(7c + -1) Reorder the terms: -14 + -80c = -49c + 28c2 + -4c(-1 + 7c) -14 + -80c = -49c + 28c2 + (-1 * -4c + 7c * -4c) -14 + -80c = -49c + 28c2 + (4c + -28c2) Reorder the terms: -14 + -80c = -49c + 4c + 28c2 + -28c2 Combine like terms: -49c + 4c = -45c -14 + -80c = -45c + 28c2 + -28c2 Combine like terms: 28c2 + -28c2 = 0 -14 + -80c = -45c + 0 -14 + -80c = -45c Solving -14 + -80c = -45c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '45c' to each side of the equation. -14 + -80c + 45c = -45c + 45c Combine like terms: -80c + 45c = -35c -14 + -35c = -45c + 45c Combine like terms: -45c + 45c = 0 -14 + -35c = 0 Add '14' to each side of the equation. -14 + 14 + -35c = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -35c = 0 + 14 -35c = 0 + 14 Combine like terms: 0 + 14 = 14 -35c = 14 Divide each side by '-35'. c = -0.4 Simplifying c = -0.4
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