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Simplifying 5(c + 7) * 7 = -45 Reorder the terms: 5(7 + c) * 7 = -45 Reorder the terms for easier multiplication: 5 * 7(7 + c) = -45 Multiply 5 * 7 35(7 + c) = -45 (7 * 35 + c * 35) = -45 (245 + 35c) = -45 Solving 245 + 35c = -45 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-245' to each side of the equation. 245 + -245 + 35c = -45 + -245 Combine like terms: 245 + -245 = 0 0 + 35c = -45 + -245 35c = -45 + -245 Combine like terms: -45 + -245 = -290 35c = -290 Divide each side by '35'. c = -8.285714286 Simplifying c = -8.285714286
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