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Simplifying 19c + 12 + 7c = 4(7c + -3) + -16 Reorder the terms: 12 + 19c + 7c = 4(7c + -3) + -16 Combine like terms: 19c + 7c = 26c 12 + 26c = 4(7c + -3) + -16 Reorder the terms: 12 + 26c = 4(-3 + 7c) + -16 12 + 26c = (-3 * 4 + 7c * 4) + -16 12 + 26c = (-12 + 28c) + -16 Reorder the terms: 12 + 26c = -12 + -16 + 28c Combine like terms: -12 + -16 = -28 12 + 26c = -28 + 28c Solving 12 + 26c = -28 + 28c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-28c' to each side of the equation. 12 + 26c + -28c = -28 + 28c + -28c Combine like terms: 26c + -28c = -2c 12 + -2c = -28 + 28c + -28c Combine like terms: 28c + -28c = 0 12 + -2c = -28 + 0 12 + -2c = -28 Add '-12' to each side of the equation. 12 + -12 + -2c = -28 + -12 Combine like terms: 12 + -12 = 0 0 + -2c = -28 + -12 -2c = -28 + -12 Combine like terms: -28 + -12 = -40 -2c = -40 Divide each side by '-2'. c = 20 Simplifying c = 20
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