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Simplifying 4c + 10 + c + 8 = 3c + 2(5c + -7) Reorder the terms: 10 + 8 + 4c + c = 3c + 2(5c + -7) Combine like terms: 10 + 8 = 18 18 + 4c + c = 3c + 2(5c + -7) Combine like terms: 4c + c = 5c 18 + 5c = 3c + 2(5c + -7) Reorder the terms: 18 + 5c = 3c + 2(-7 + 5c) 18 + 5c = 3c + (-7 * 2 + 5c * 2) 18 + 5c = 3c + (-14 + 10c) Reorder the terms: 18 + 5c = -14 + 3c + 10c Combine like terms: 3c + 10c = 13c 18 + 5c = -14 + 13c Solving 18 + 5c = -14 + 13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13c' to each side of the equation. 18 + 5c + -13c = -14 + 13c + -13c Combine like terms: 5c + -13c = -8c 18 + -8c = -14 + 13c + -13c Combine like terms: 13c + -13c = 0 18 + -8c = -14 + 0 18 + -8c = -14 Add '-18' to each side of the equation. 18 + -18 + -8c = -14 + -18 Combine like terms: 18 + -18 = 0 0 + -8c = -14 + -18 -8c = -14 + -18 Combine like terms: -14 + -18 = -32 -8c = -32 Divide each side by '-8'. c = 4 Simplifying c = 4
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