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Simplifying -6.12 + -3.0c = 3.8(c + 6.8) Reorder the terms: -6.12 + -3.0c = 3.8(6.8 + c) -6.12 + -3.0c = (6.8 * 3.8 + c * 3.8) -6.12 + -3.0c = (25.84 + 3.8c) Solving -6.12 + -3.0c = 25.84 + 3.8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3.8c' to each side of the equation. -6.12 + -3.0c + -3.8c = 25.84 + 3.8c + -3.8c Combine like terms: -3.0c + -3.8c = -6.8c -6.12 + -6.8c = 25.84 + 3.8c + -3.8c Combine like terms: 3.8c + -3.8c = 0.0 -6.12 + -6.8c = 25.84 + 0.0 -6.12 + -6.8c = 25.84 Add '6.12' to each side of the equation. -6.12 + 6.12 + -6.8c = 25.84 + 6.12 Combine like terms: -6.12 + 6.12 = 0.00 0.00 + -6.8c = 25.84 + 6.12 -6.8c = 25.84 + 6.12 Combine like terms: 25.84 + 6.12 = 31.96 -6.8c = 31.96 Divide each side by '-6.8'. c = -4.7 Simplifying c = -4.7
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