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Simplifying 22 = -3 + 8(c + 6) Reorder the terms: 22 = -3 + 8(6 + c) 22 = -3 + (6 * 8 + c * 8) 22 = -3 + (48 + 8c) Combine like terms: -3 + 48 = 45 22 = 45 + 8c Solving 22 = 45 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 22 + -8c = 45 + 8c + -8c Combine like terms: 8c + -8c = 0 22 + -8c = 45 + 0 22 + -8c = 45 Add '-22' to each side of the equation. 22 + -22 + -8c = 45 + -22 Combine like terms: 22 + -22 = 0 0 + -8c = 45 + -22 -8c = 45 + -22 Combine like terms: 45 + -22 = 23 -8c = 23 Divide each side by '-8'. c = -2.875 Simplifying c = -2.875
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