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Simplifying 5(c + -2) = 6(c + -6) Reorder the terms: 5(-2 + c) = 6(c + -6) (-2 * 5 + c * 5) = 6(c + -6) (-10 + 5c) = 6(c + -6) Reorder the terms: -10 + 5c = 6(-6 + c) -10 + 5c = (-6 * 6 + c * 6) -10 + 5c = (-36 + 6c) Solving -10 + 5c = -36 + 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. -10 + 5c + -6c = -36 + 6c + -6c Combine like terms: 5c + -6c = -1c -10 + -1c = -36 + 6c + -6c Combine like terms: 6c + -6c = 0 -10 + -1c = -36 + 0 -10 + -1c = -36 Add '10' to each side of the equation. -10 + 10 + -1c = -36 + 10 Combine like terms: -10 + 10 = 0 0 + -1c = -36 + 10 -1c = -36 + 10 Combine like terms: -36 + 10 = -26 -1c = -26 Divide each side by '-1'. c = 26 Simplifying c = 26
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