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Simplifying -2(5c + 6) = 8(3 + -1c) Reorder the terms: -2(6 + 5c) = 8(3 + -1c) (6 * -2 + 5c * -2) = 8(3 + -1c) (-12 + -10c) = 8(3 + -1c) -12 + -10c = (3 * 8 + -1c * 8) -12 + -10c = (24 + -8c) Solving -12 + -10c = 24 + -8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8c' to each side of the equation. -12 + -10c + 8c = 24 + -8c + 8c Combine like terms: -10c + 8c = -2c -12 + -2c = 24 + -8c + 8c Combine like terms: -8c + 8c = 0 -12 + -2c = 24 + 0 -12 + -2c = 24 Add '12' to each side of the equation. -12 + 12 + -2c = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -2c = 24 + 12 -2c = 24 + 12 Combine like terms: 24 + 12 = 36 -2c = 36 Divide each side by '-2'. c = -18 Simplifying c = -18
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