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Simplifying 10c + 3 = 6c + -15 Reorder the terms: 3 + 10c = 6c + -15 Reorder the terms: 3 + 10c = -15 + 6c Solving 3 + 10c = -15 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 3 + 10c + -6c = -15 + 6c + -6c Combine like terms: 10c + -6c = 4c 3 + 4c = -15 + 6c + -6c Combine like terms: 6c + -6c = 0 3 + 4c = -15 + 0 3 + 4c = -15 Add '-3' to each side of the equation. 3 + -3 + 4c = -15 + -3 Combine like terms: 3 + -3 = 0 0 + 4c = -15 + -3 4c = -15 + -3 Combine like terms: -15 + -3 = -18 4c = -18 Divide each side by '4'. c = -4.5 Simplifying c = -4.5
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