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Simplifying 8(c + -3) = 7(c + -1) Reorder the terms: 8(-3 + c) = 7(c + -1) (-3 * 8 + c * 8) = 7(c + -1) (-24 + 8c) = 7(c + -1) Reorder the terms: -24 + 8c = 7(-1 + c) -24 + 8c = (-1 * 7 + c * 7) -24 + 8c = (-7 + 7c) Solving -24 + 8c = -7 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -24 + 8c + -7c = -7 + 7c + -7c Combine like terms: 8c + -7c = 1c -24 + 1c = -7 + 7c + -7c Combine like terms: 7c + -7c = 0 -24 + 1c = -7 + 0 -24 + 1c = -7 Add '24' to each side of the equation. -24 + 24 + 1c = -7 + 24 Combine like terms: -24 + 24 = 0 0 + 1c = -7 + 24 1c = -7 + 24 Combine like terms: -7 + 24 = 17 1c = 17 Divide each side by '1'. c = 17 Simplifying c = 17
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