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Simplifying 4(10c + -5) = 3(7c) Reorder the terms: 4(-5 + 10c) = 3(7c) (-5 * 4 + 10c * 4) = 3(7c) (-20 + 40c) = 3(7c) Remove parenthesis around (7c) -20 + 40c = 3 * 7c Multiply 3 * 7 -20 + 40c = 21c Solving -20 + 40c = 21c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-21c' to each side of the equation. -20 + 40c + -21c = 21c + -21c Combine like terms: 40c + -21c = 19c -20 + 19c = 21c + -21c Combine like terms: 21c + -21c = 0 -20 + 19c = 0 Add '20' to each side of the equation. -20 + 20 + 19c = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 19c = 0 + 20 19c = 0 + 20 Combine like terms: 0 + 20 = 20 19c = 20 Divide each side by '19'. c = 1.052631579 Simplifying c = 1.052631579
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