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Simplifying 8(c + -9) = 7(4 + c) Reorder the terms: 8(-9 + c) = 7(4 + c) (-9 * 8 + c * 8) = 7(4 + c) (-72 + 8c) = 7(4 + c) -72 + 8c = (4 * 7 + c * 7) -72 + 8c = (28 + 7c) Solving -72 + 8c = 28 + 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. -72 + 8c + -7c = 28 + 7c + -7c Combine like terms: 8c + -7c = 1c -72 + 1c = 28 + 7c + -7c Combine like terms: 7c + -7c = 0 -72 + 1c = 28 + 0 -72 + 1c = 28 Add '72' to each side of the equation. -72 + 72 + 1c = 28 + 72 Combine like terms: -72 + 72 = 0 0 + 1c = 28 + 72 1c = 28 + 72 Combine like terms: 28 + 72 = 100 1c = 100 Divide each side by '1'. c = 100 Simplifying c = 100
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