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Simplifying 7(1 + c) = 6(1 + -5) (1 * 7 + c * 7) = 6(1 + -5) (7 + 7c) = 6(1 + -5) Combine like terms: 1 + -5 = -4 7 + 7c = 6(-4) Multiply 6 * -4 7 + 7c = -24 Solving 7 + 7c = -24 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7c = -24 + -7 Combine like terms: 7 + -7 = 0 0 + 7c = -24 + -7 7c = -24 + -7 Combine like terms: -24 + -7 = -31 7c = -31 Divide each side by '7'. c = -4.428571429 Simplifying c = -4.428571429
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