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Simplifying 18c + 4.5 = 23(c + -1) Reorder the terms: 4.5 + 18c = 23(c + -1) Reorder the terms: 4.5 + 18c = 23(-1 + c) 4.5 + 18c = (-1 * 23 + c * 23) 4.5 + 18c = (-23 + 23c) Solving 4.5 + 18c = -23 + 23c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-23c' to each side of the equation. 4.5 + 18c + -23c = -23 + 23c + -23c Combine like terms: 18c + -23c = -5c 4.5 + -5c = -23 + 23c + -23c Combine like terms: 23c + -23c = 0 4.5 + -5c = -23 + 0 4.5 + -5c = -23 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -5c = -23 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -5c = -23 + -4.5 -5c = -23 + -4.5 Combine like terms: -23 + -4.5 = -27.5 -5c = -27.5 Divide each side by '-5'. c = 5.5 Simplifying c = 5.5
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