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Simplifying 4(1.5c + 6) + -2c = -8 Reorder the terms: 4(6 + 1.5c) + -2c = -8 (6 * 4 + 1.5c * 4) + -2c = -8 (24 + 6c) + -2c = -8 Combine like terms: 6c + -2c = 4c 24 + 4c = -8 Solving 24 + 4c = -8 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4c = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 4c = -8 + -24 4c = -8 + -24 Combine like terms: -8 + -24 = -32 4c = -32 Divide each side by '4'. c = -8 Simplifying c = -8
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