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Simplifying 9(c + -5) = 8(c + -4) Reorder the terms: 9(-5 + c) = 8(c + -4) (-5 * 9 + c * 9) = 8(c + -4) (-45 + 9c) = 8(c + -4) Reorder the terms: -45 + 9c = 8(-4 + c) -45 + 9c = (-4 * 8 + c * 8) -45 + 9c = (-32 + 8c) Solving -45 + 9c = -32 + 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. -45 + 9c + -8c = -32 + 8c + -8c Combine like terms: 9c + -8c = 1c -45 + 1c = -32 + 8c + -8c Combine like terms: 8c + -8c = 0 -45 + 1c = -32 + 0 -45 + 1c = -32 Add '45' to each side of the equation. -45 + 45 + 1c = -32 + 45 Combine like terms: -45 + 45 = 0 0 + 1c = -32 + 45 1c = -32 + 45 Combine like terms: -32 + 45 = 13 1c = 13 Divide each side by '1'. c = 13 Simplifying c = 13
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