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Simplifying 5(2c + -3) + -3 = 7c + 4 Reorder the terms: 5(-3 + 2c) + -3 = 7c + 4 (-3 * 5 + 2c * 5) + -3 = 7c + 4 (-15 + 10c) + -3 = 7c + 4 Reorder the terms: -15 + -3 + 10c = 7c + 4 Combine like terms: -15 + -3 = -18 -18 + 10c = 7c + 4 Reorder the terms: -18 + 10c = 4 + 7c Solving -18 + 10c = 4 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -18 + 10c + -7c = 4 + 7c + -7c Combine like terms: 10c + -7c = 3c -18 + 3c = 4 + 7c + -7c Combine like terms: 7c + -7c = 0 -18 + 3c = 4 + 0 -18 + 3c = 4 Add '18' to each side of the equation. -18 + 18 + 3c = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 3c = 4 + 18 3c = 4 + 18 Combine like terms: 4 + 18 = 22 3c = 22 Divide each side by '3'. c = 7.333333333 Simplifying c = 7.333333333
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