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Simplifying 2c + 3 = 4(c + -1) Reorder the terms: 3 + 2c = 4(c + -1) Reorder the terms: 3 + 2c = 4(-1 + c) 3 + 2c = (-1 * 4 + c * 4) 3 + 2c = (-4 + 4c) Solving 3 + 2c = -4 + 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. 3 + 2c + -4c = -4 + 4c + -4c Combine like terms: 2c + -4c = -2c 3 + -2c = -4 + 4c + -4c Combine like terms: 4c + -4c = 0 3 + -2c = -4 + 0 3 + -2c = -4 Add '-3' to each side of the equation. 3 + -3 + -2c = -4 + -3 Combine like terms: 3 + -3 = 0 0 + -2c = -4 + -3 -2c = -4 + -3 Combine like terms: -4 + -3 = -7 -2c = -7 Divide each side by '-2'. c = 3.5 Simplifying c = 3.5
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