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Simplifying -2(4 + (2c + 3)) = 5 + 2(2c + 4) Reorder the terms: -2(4 + (3 + 2c)) = 5 + 2(2c + 4) Remove parenthesis around (3 + 2c) -2(4 + 3 + 2c) = 5 + 2(2c + 4) Combine like terms: 4 + 3 = 7 -2(7 + 2c) = 5 + 2(2c + 4) (7 * -2 + 2c * -2) = 5 + 2(2c + 4) (-14 + -4c) = 5 + 2(2c + 4) Reorder the terms: -14 + -4c = 5 + 2(4 + 2c) -14 + -4c = 5 + (4 * 2 + 2c * 2) -14 + -4c = 5 + (8 + 4c) Combine like terms: 5 + 8 = 13 -14 + -4c = 13 + 4c Solving -14 + -4c = 13 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -14 + -4c + -4c = 13 + 4c + -4c Combine like terms: -4c + -4c = -8c -14 + -8c = 13 + 4c + -4c Combine like terms: 4c + -4c = 0 -14 + -8c = 13 + 0 -14 + -8c = 13 Add '14' to each side of the equation. -14 + 14 + -8c = 13 + 14 Combine like terms: -14 + 14 = 0 0 + -8c = 13 + 14 -8c = 13 + 14 Combine like terms: 13 + 14 = 27 -8c = 27 Divide each side by '-8'. c = -3.375 Simplifying c = -3.375
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