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Simplifying 7(c + -8) + 24 = -3(c + -6) Reorder the terms: 7(-8 + c) + 24 = -3(c + -6) (-8 * 7 + c * 7) + 24 = -3(c + -6) (-56 + 7c) + 24 = -3(c + -6) Reorder the terms: -56 + 24 + 7c = -3(c + -6) Combine like terms: -56 + 24 = -32 -32 + 7c = -3(c + -6) Reorder the terms: -32 + 7c = -3(-6 + c) -32 + 7c = (-6 * -3 + c * -3) -32 + 7c = (18 + -3c) Solving -32 + 7c = 18 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. -32 + 7c + 3c = 18 + -3c + 3c Combine like terms: 7c + 3c = 10c -32 + 10c = 18 + -3c + 3c Combine like terms: -3c + 3c = 0 -32 + 10c = 18 + 0 -32 + 10c = 18 Add '32' to each side of the equation. -32 + 32 + 10c = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 10c = 18 + 32 10c = 18 + 32 Combine like terms: 18 + 32 = 50 10c = 50 Divide each side by '10'. c = 5 Simplifying c = 5
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