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Simplifying 5(3c + -7) = 13(c + 3) Reorder the terms: 5(-7 + 3c) = 13(c + 3) (-7 * 5 + 3c * 5) = 13(c + 3) (-35 + 15c) = 13(c + 3) Reorder the terms: -35 + 15c = 13(3 + c) -35 + 15c = (3 * 13 + c * 13) -35 + 15c = (39 + 13c) Solving -35 + 15c = 39 + 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. -35 + 15c + -13c = 39 + 13c + -13c Combine like terms: 15c + -13c = 2c -35 + 2c = 39 + 13c + -13c Combine like terms: 13c + -13c = 0 -35 + 2c = 39 + 0 -35 + 2c = 39 Add '35' to each side of the equation. -35 + 35 + 2c = 39 + 35 Combine like terms: -35 + 35 = 0 0 + 2c = 39 + 35 2c = 39 + 35 Combine like terms: 39 + 35 = 74 2c = 74 Divide each side by '2'. c = 37 Simplifying c = 37
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