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Simplifying 6(c + -3) = 2(c + 2) + -1(-8) Reorder the terms: 6(-3 + c) = 2(c + 2) + -1(-8) (-3 * 6 + c * 6) = 2(c + 2) + -1(-8) (-18 + 6c) = 2(c + 2) + -1(-8) Reorder the terms: -18 + 6c = 2(2 + c) + -1(-8) -18 + 6c = (2 * 2 + c * 2) + -1(-8) -18 + 6c = (4 + 2c) + -1(-8) Multiply -1 * -8 -18 + 6c = 4 + 2c + 8 Reorder the terms: -18 + 6c = 4 + 8 + 2c Combine like terms: 4 + 8 = 12 -18 + 6c = 12 + 2c Solving -18 + 6c = 12 + 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. -18 + 6c + -2c = 12 + 2c + -2c Combine like terms: 6c + -2c = 4c -18 + 4c = 12 + 2c + -2c Combine like terms: 2c + -2c = 0 -18 + 4c = 12 + 0 -18 + 4c = 12 Add '18' to each side of the equation. -18 + 18 + 4c = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 4c = 12 + 18 4c = 12 + 18 Combine like terms: 12 + 18 = 30 4c = 30 Divide each side by '4'. c = 7.5 Simplifying c = 7.5
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