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Simplifying 24 + -9c = 7(8c + -6) Reorder the terms: 24 + -9c = 7(-6 + 8c) 24 + -9c = (-6 * 7 + 8c * 7) 24 + -9c = (-42 + 56c) Solving 24 + -9c = -42 + 56c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-56c' to each side of the equation. 24 + -9c + -56c = -42 + 56c + -56c Combine like terms: -9c + -56c = -65c 24 + -65c = -42 + 56c + -56c Combine like terms: 56c + -56c = 0 24 + -65c = -42 + 0 24 + -65c = -42 Add '-24' to each side of the equation. 24 + -24 + -65c = -42 + -24 Combine like terms: 24 + -24 = 0 0 + -65c = -42 + -24 -65c = -42 + -24 Combine like terms: -42 + -24 = -66 -65c = -66 Divide each side by '-65'. c = 1.015384615 Simplifying c = 1.015384615
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