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Simplifying (c + 1) * 4 = (2c + -5) * 3 Reorder the terms: (1 + c) * 4 = (2c + -5) * 3 Reorder the terms for easier multiplication: 4(1 + c) = (2c + -5) * 3 (1 * 4 + c * 4) = (2c + -5) * 3 (4 + 4c) = (2c + -5) * 3 Reorder the terms: 4 + 4c = (-5 + 2c) * 3 Reorder the terms for easier multiplication: 4 + 4c = 3(-5 + 2c) 4 + 4c = (-5 * 3 + 2c * 3) 4 + 4c = (-15 + 6c) Solving 4 + 4c = -15 + 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. 4 + 4c + -6c = -15 + 6c + -6c Combine like terms: 4c + -6c = -2c 4 + -2c = -15 + 6c + -6c Combine like terms: 6c + -6c = 0 4 + -2c = -15 + 0 4 + -2c = -15 Add '-4' to each side of the equation. 4 + -4 + -2c = -15 + -4 Combine like terms: 4 + -4 = 0 0 + -2c = -15 + -4 -2c = -15 + -4 Combine like terms: -15 + -4 = -19 -2c = -19 Divide each side by '-2'. c = 9.5 Simplifying c = 9.5
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