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Simplifying 5(1 + c) = 6(z + c) (1 * 5 + c * 5) = 6(z + c) (5 + 5c) = 6(z + c) Reorder the terms: 5 + 5c = 6(c + z) 5 + 5c = (c * 6 + z * 6) 5 + 5c = (6c + 6z) Solving 5 + 5c = 6c + 6z 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. 5 + 5c + -6c = 6c + -6c + 6z Combine like terms: 5c + -6c = -1c 5 + -1c = 6c + -6c + 6z Combine like terms: 6c + -6c = 0 5 + -1c = 0 + 6z 5 + -1c = 6z Add '-5' to each side of the equation. 5 + -5 + -1c = -5 + 6z Combine like terms: 5 + -5 = 0 0 + -1c = -5 + 6z -1c = -5 + 6z Divide each side by '-1'. c = 5 + -6z Simplifying c = 5 + -6z
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