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