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Simplifying 8(c + -3) + 9 + 7c = 45 Reorder the terms: 8(-3 + c) + 9 + 7c = 45 (-3 * 8 + c * 8) + 9 + 7c = 45 (-24 + 8c) + 9 + 7c = 45 Reorder the terms: -24 + 9 + 8c + 7c = 45 Combine like terms: -24 + 9 = -15 -15 + 8c + 7c = 45 Combine like terms: 8c + 7c = 15c -15 + 15c = 45 Solving -15 + 15c = 45 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 15c = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 15c = 45 + 15 15c = 45 + 15 Combine like terms: 45 + 15 = 60 15c = 60 Divide each side by '15'. c = 4 Simplifying c = 4
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