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Simplifying 3c + 10 = 4c + -5 Reorder the terms: 10 + 3c = 4c + -5 Reorder the terms: 10 + 3c = -5 + 4c Solving 10 + 3c = -5 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 10 + 3c + -4c = -5 + 4c + -4c Combine like terms: 3c + -4c = -1c 10 + -1c = -5 + 4c + -4c Combine like terms: 4c + -4c = 0 10 + -1c = -5 + 0 10 + -1c = -5 Add '-10' to each side of the equation. 10 + -10 + -1c = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -1c = -5 + -10 -1c = -5 + -10 Combine like terms: -5 + -10 = -15 -1c = -15 Divide each side by '-1'. c = 15 Simplifying c = 15
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