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Simplifying 3(5c + -1) * 2 = 13c + 3 Reorder the terms: 3(-1 + 5c) * 2 = 13c + 3 Reorder the terms for easier multiplication: 3 * 2(-1 + 5c) = 13c + 3 Multiply 3 * 2 6(-1 + 5c) = 13c + 3 (-1 * 6 + 5c * 6) = 13c + 3 (-6 + 30c) = 13c + 3 Reorder the terms: -6 + 30c = 3 + 13c Solving -6 + 30c = 3 + 13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13c' to each side of the equation. -6 + 30c + -13c = 3 + 13c + -13c Combine like terms: 30c + -13c = 17c -6 + 17c = 3 + 13c + -13c Combine like terms: 13c + -13c = 0 -6 + 17c = 3 + 0 -6 + 17c = 3 Add '6' to each side of the equation. -6 + 6 + 17c = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 17c = 3 + 6 17c = 3 + 6 Combine like terms: 3 + 6 = 9 17c = 9 Divide each side by '17'. c = 0.5294117647 Simplifying c = 0.5294117647
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