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Simplifying 12 + 4c + -20 = -8(-2c + -13) + -16 Reorder the terms: 12 + -20 + 4c = -8(-2c + -13) + -16 Combine like terms: 12 + -20 = -8 -8 + 4c = -8(-2c + -13) + -16 Reorder the terms: -8 + 4c = -8(-13 + -2c) + -16 -8 + 4c = (-13 * -8 + -2c * -8) + -16 -8 + 4c = (104 + 16c) + -16 Reorder the terms: -8 + 4c = 104 + -16 + 16c Combine like terms: 104 + -16 = 88 -8 + 4c = 88 + 16c Solving -8 + 4c = 88 + 16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16c' to each side of the equation. -8 + 4c + -16c = 88 + 16c + -16c Combine like terms: 4c + -16c = -12c -8 + -12c = 88 + 16c + -16c Combine like terms: 16c + -16c = 0 -8 + -12c = 88 + 0 -8 + -12c = 88 Add '8' to each side of the equation. -8 + 8 + -12c = 88 + 8 Combine like terms: -8 + 8 = 0 0 + -12c = 88 + 8 -12c = 88 + 8 Combine like terms: 88 + 8 = 96 -12c = 96 Divide each side by '-12'. c = -8 Simplifying c = -8
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