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Simplifying 4(c + -3) + 5 = 2c + 3 Reorder the terms: 4(-3 + c) + 5 = 2c + 3 (-3 * 4 + c * 4) + 5 = 2c + 3 (-12 + 4c) + 5 = 2c + 3 Reorder the terms: -12 + 5 + 4c = 2c + 3 Combine like terms: -12 + 5 = -7 -7 + 4c = 2c + 3 Reorder the terms: -7 + 4c = 3 + 2c Solving -7 + 4c = 3 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -7 + 4c + -2c = 3 + 2c + -2c Combine like terms: 4c + -2c = 2c -7 + 2c = 3 + 2c + -2c Combine like terms: 2c + -2c = 0 -7 + 2c = 3 + 0 -7 + 2c = 3 Add '7' to each side of the equation. -7 + 7 + 2c = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 2c = 3 + 7 2c = 3 + 7 Combine like terms: 3 + 7 = 10 2c = 10 Divide each side by '2'. c = 5 Simplifying c = 5
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