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Simplifying 7(5 + c) = 6(c + -4) (5 * 7 + c * 7) = 6(c + -4) (35 + 7c) = 6(c + -4) Reorder the terms: 35 + 7c = 6(-4 + c) 35 + 7c = (-4 * 6 + c * 6) 35 + 7c = (-24 + 6c) Solving 35 + 7c = -24 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 35 + 7c + -6c = -24 + 6c + -6c Combine like terms: 7c + -6c = 1c 35 + 1c = -24 + 6c + -6c Combine like terms: 6c + -6c = 0 35 + 1c = -24 + 0 35 + 1c = -24 Add '-35' to each side of the equation. 35 + -35 + 1c = -24 + -35 Combine like terms: 35 + -35 = 0 0 + 1c = -24 + -35 1c = -24 + -35 Combine like terms: -24 + -35 = -59 1c = -59 Divide each side by '1'. c = -59 Simplifying c = -59
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