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Simplifying 7(7c + 1) + -4c = 13(3c + -2c) Reorder the terms: 7(1 + 7c) + -4c = 13(3c + -2c) (1 * 7 + 7c * 7) + -4c = 13(3c + -2c) (7 + 49c) + -4c = 13(3c + -2c) Combine like terms: 49c + -4c = 45c 7 + 45c = 13(3c + -2c) Combine like terms: 3c + -2c = 1c 7 + 45c = 13(1c) Remove parenthesis around (1c) 7 + 45c = 13 * 1c Multiply 13 * 1 7 + 45c = 13c Solving 7 + 45c = 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 + 45c + -13c = 13c + -13c Combine like terms: 45c + -13c = 32c 7 + 32c = 13c + -13c Combine like terms: 13c + -13c = 0 7 + 32c = 0 Add '-7' to each side of the equation. 7 + -7 + 32c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 32c = 0 + -7 32c = 0 + -7 Combine like terms: 0 + -7 = -7 32c = -7 Divide each side by '32'. c = -0.21875 Simplifying c = -0.21875
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