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Simplifying 2(4c + -3) + -7 = 6c + 1 Reorder the terms: 2(-3 + 4c) + -7 = 6c + 1 (-3 * 2 + 4c * 2) + -7 = 6c + 1 (-6 + 8c) + -7 = 6c + 1 Reorder the terms: -6 + -7 + 8c = 6c + 1 Combine like terms: -6 + -7 = -13 -13 + 8c = 6c + 1 Reorder the terms: -13 + 8c = 1 + 6c Solving -13 + 8c = 1 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -13 + 8c + -6c = 1 + 6c + -6c Combine like terms: 8c + -6c = 2c -13 + 2c = 1 + 6c + -6c Combine like terms: 6c + -6c = 0 -13 + 2c = 1 + 0 -13 + 2c = 1 Add '13' to each side of the equation. -13 + 13 + 2c = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 2c = 1 + 13 2c = 1 + 13 Combine like terms: 1 + 13 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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