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Simplifying -6(2c + -10) + 22 = c + 4 Reorder the terms: -6(-10 + 2c) + 22 = c + 4 (-10 * -6 + 2c * -6) + 22 = c + 4 (60 + -12c) + 22 = c + 4 Reorder the terms: 60 + 22 + -12c = c + 4 Combine like terms: 60 + 22 = 82 82 + -12c = c + 4 Reorder the terms: 82 + -12c = 4 + c Solving 82 + -12c = 4 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 82 + -12c + -1c = 4 + c + -1c Combine like terms: -12c + -1c = -13c 82 + -13c = 4 + c + -1c Combine like terms: c + -1c = 0 82 + -13c = 4 + 0 82 + -13c = 4 Add '-82' to each side of the equation. 82 + -82 + -13c = 4 + -82 Combine like terms: 82 + -82 = 0 0 + -13c = 4 + -82 -13c = 4 + -82 Combine like terms: 4 + -82 = -78 -13c = -78 Divide each side by '-13'. c = 6 Simplifying c = 6
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