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Simplifying 8(c + -4) = 7c + -7 Reorder the terms: 8(-4 + c) = 7c + -7 (-4 * 8 + c * 8) = 7c + -7 (-32 + 8c) = 7c + -7 Reorder the terms: -32 + 8c = -7 + 7c Solving -32 + 8c = -7 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -32 + 8c + -7c = -7 + 7c + -7c Combine like terms: 8c + -7c = 1c -32 + 1c = -7 + 7c + -7c Combine like terms: 7c + -7c = 0 -32 + 1c = -7 + 0 -32 + 1c = -7 Add '32' to each side of the equation. -32 + 32 + 1c = -7 + 32 Combine like terms: -32 + 32 = 0 0 + 1c = -7 + 32 1c = -7 + 32 Combine like terms: -7 + 32 = 25 1c = 25 Divide each side by '1'. c = 25 Simplifying c = 25
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