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Simplifying -3.45 + -1.5c = 6.1(c + 2.3) Reorder the terms: -3.45 + -1.5c = 6.1(2.3 + c) -3.45 + -1.5c = (2.3 * 6.1 + c * 6.1) -3.45 + -1.5c = (14.03 + 6.1c) Solving -3.45 + -1.5c = 14.03 + 6.1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6.1c' to each side of the equation. -3.45 + -1.5c + -6.1c = 14.03 + 6.1c + -6.1c Combine like terms: -1.5c + -6.1c = -7.6c -3.45 + -7.6c = 14.03 + 6.1c + -6.1c Combine like terms: 6.1c + -6.1c = 0.0 -3.45 + -7.6c = 14.03 + 0.0 -3.45 + -7.6c = 14.03 Add '3.45' to each side of the equation. -3.45 + 3.45 + -7.6c = 14.03 + 3.45 Combine like terms: -3.45 + 3.45 = 0.00 0.00 + -7.6c = 14.03 + 3.45 -7.6c = 14.03 + 3.45 Combine like terms: 14.03 + 3.45 = 17.48 -7.6c = 17.48 Divide each side by '-7.6'. c = -2.3 Simplifying c = -2.3
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