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Simplifying 5(5c + 1) + -12 = 13c + 3 Reorder the terms: 5(1 + 5c) + -12 = 13c + 3 (1 * 5 + 5c * 5) + -12 = 13c + 3 (5 + 25c) + -12 = 13c + 3 Reorder the terms: 5 + -12 + 25c = 13c + 3 Combine like terms: 5 + -12 = -7 -7 + 25c = 13c + 3 Reorder the terms: -7 + 25c = 3 + 13c Solving -7 + 25c = 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. -7 + 25c + -13c = 3 + 13c + -13c Combine like terms: 25c + -13c = 12c -7 + 12c = 3 + 13c + -13c Combine like terms: 13c + -13c = 0 -7 + 12c = 3 + 0 -7 + 12c = 3 Add '7' to each side of the equation. -7 + 7 + 12c = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 12c = 3 + 7 12c = 3 + 7 Combine like terms: 3 + 7 = 10 12c = 10 Divide each side by '12'. c = 0.8333333333 Simplifying c = 0.8333333333
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