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Simplifying 2c + 3 = 4(c + -4) Reorder the terms: 3 + 2c = 4(c + -4) Reorder the terms: 3 + 2c = 4(-4 + c) 3 + 2c = (-4 * 4 + c * 4) 3 + 2c = (-16 + 4c) Solving 3 + 2c = -16 + 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 = -16 + 4c + -4c Combine like terms: 2c + -4c = -2c 3 + -2c = -16 + 4c + -4c Combine like terms: 4c + -4c = 0 3 + -2c = -16 + 0 3 + -2c = -16 Add '-3' to each side of the equation. 3 + -3 + -2c = -16 + -3 Combine like terms: 3 + -3 = 0 0 + -2c = -16 + -3 -2c = -16 + -3 Combine like terms: -16 + -3 = -19 -2c = -19 Divide each side by '-2'. c = 9.5 Simplifying c = 9.5
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