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Simplifying 8(c + -8) = 7(9 + c) Reorder the terms: 8(-8 + c) = 7(9 + c) (-8 * 8 + c * 8) = 7(9 + c) (-64 + 8c) = 7(9 + c) -64 + 8c = (9 * 7 + c * 7) -64 + 8c = (63 + 7c) Solving -64 + 8c = 63 + 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. -64 + 8c + -7c = 63 + 7c + -7c Combine like terms: 8c + -7c = 1c -64 + 1c = 63 + 7c + -7c Combine like terms: 7c + -7c = 0 -64 + 1c = 63 + 0 -64 + 1c = 63 Add '64' to each side of the equation. -64 + 64 + 1c = 63 + 64 Combine like terms: -64 + 64 = 0 0 + 1c = 63 + 64 1c = 63 + 64 Combine like terms: 63 + 64 = 127 1c = 127 Divide each side by '1'. c = 127 Simplifying c = 127
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