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Simplifying -6c + 8(2c + 4) + -7z = 37 Reorder the terms: -6c + 8(4 + 2c) + -7z = 37 -6c + (4 * 8 + 2c * 8) + -7z = 37 -6c + (32 + 16c) + -7z = 37 Reorder the terms: 32 + -6c + 16c + -7z = 37 Combine like terms: -6c + 16c = 10c 32 + 10c + -7z = 37 Solving 32 + 10c + -7z = 37 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 10c + -32 + -7z = 37 + -32 Reorder the terms: 32 + -32 + 10c + -7z = 37 + -32 Combine like terms: 32 + -32 = 0 0 + 10c + -7z = 37 + -32 10c + -7z = 37 + -32 Combine like terms: 37 + -32 = 5 10c + -7z = 5 Add '7z' to each side of the equation. 10c + -7z + 7z = 5 + 7z Combine like terms: -7z + 7z = 0 10c + 0 = 5 + 7z 10c = 5 + 7z Divide each side by '10'. c = 0.5 + 0.7z Simplifying c = 0.5 + 0.7z
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