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Simplifying c + (c + -3) = 196 + -1(c + 4) Reorder the terms: c + (-3 + c) = 196 + -1(c + 4) Remove parenthesis around (-3 + c) c + -3 + c = 196 + -1(c + 4) Reorder the terms: -3 + c + c = 196 + -1(c + 4) Combine like terms: c + c = 2c -3 + 2c = 196 + -1(c + 4) Reorder the terms: -3 + 2c = 196 + -1(4 + c) -3 + 2c = 196 + (4 * -1 + c * -1) -3 + 2c = 196 + (-4 + -1c) Combine like terms: 196 + -4 = 192 -3 + 2c = 192 + -1c Solving -3 + 2c = 192 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. -3 + 2c + c = 192 + -1c + c Combine like terms: 2c + c = 3c -3 + 3c = 192 + -1c + c Combine like terms: -1c + c = 0 -3 + 3c = 192 + 0 -3 + 3c = 192 Add '3' to each side of the equation. -3 + 3 + 3c = 192 + 3 Combine like terms: -3 + 3 = 0 0 + 3c = 192 + 3 3c = 192 + 3 Combine like terms: 192 + 3 = 195 3c = 195 Divide each side by '3'. c = 65 Simplifying c = 65
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