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Simplifying 5c + -4 = 7(c + 4) Reorder the terms: -4 + 5c = 7(c + 4) Reorder the terms: -4 + 5c = 7(4 + c) -4 + 5c = (4 * 7 + c * 7) -4 + 5c = (28 + 7c) Solving -4 + 5c = 28 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -4 + 5c + -7c = 28 + 7c + -7c Combine like terms: 5c + -7c = -2c -4 + -2c = 28 + 7c + -7c Combine like terms: 7c + -7c = 0 -4 + -2c = 28 + 0 -4 + -2c = 28 Add '4' to each side of the equation. -4 + 4 + -2c = 28 + 4 Combine like terms: -4 + 4 = 0 0 + -2c = 28 + 4 -2c = 28 + 4 Combine like terms: 28 + 4 = 32 -2c = 32 Divide each side by '-2'. c = -16 Simplifying c = -16
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