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Simplifying 7(c + -3) = 6(4 + c) Reorder the terms: 7(-3 + c) = 6(4 + c) (-3 * 7 + c * 7) = 6(4 + c) (-21 + 7c) = 6(4 + c) -21 + 7c = (4 * 6 + c * 6) -21 + 7c = (24 + 6c) Solving -21 + 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. -21 + 7c + -6c = 24 + 6c + -6c Combine like terms: 7c + -6c = 1c -21 + 1c = 24 + 6c + -6c Combine like terms: 6c + -6c = 0 -21 + 1c = 24 + 0 -21 + 1c = 24 Add '21' to each side of the equation. -21 + 21 + 1c = 24 + 21 Combine like terms: -21 + 21 = 0 0 + 1c = 24 + 21 1c = 24 + 21 Combine like terms: 24 + 21 = 45 1c = 45 Divide each side by '1'. c = 45 Simplifying c = 45
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