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Simplifying 8(c + -2) + 3 + -2 = 2c + 15 Reorder the terms: 8(-2 + c) + 3 + -2 = 2c + 15 (-2 * 8 + c * 8) + 3 + -2 = 2c + 15 (-16 + 8c) + 3 + -2 = 2c + 15 Reorder the terms: -16 + 3 + -2 + 8c = 2c + 15 Combine like terms: -16 + 3 = -13 -13 + -2 + 8c = 2c + 15 Combine like terms: -13 + -2 = -15 -15 + 8c = 2c + 15 Reorder the terms: -15 + 8c = 15 + 2c Solving -15 + 8c = 15 + 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. -15 + 8c + -2c = 15 + 2c + -2c Combine like terms: 8c + -2c = 6c -15 + 6c = 15 + 2c + -2c Combine like terms: 2c + -2c = 0 -15 + 6c = 15 + 0 -15 + 6c = 15 Add '15' to each side of the equation. -15 + 15 + 6c = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 6c = 15 + 15 6c = 15 + 15 Combine like terms: 15 + 15 = 30 6c = 30 Divide each side by '6'. c = 5 Simplifying c = 5
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