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Simplifying -8 = 3 + -2(c + -4) + 3c Reorder the terms: -8 = 3 + -2(-4 + c) + 3c -8 = 3 + (-4 * -2 + c * -2) + 3c -8 = 3 + (8 + -2c) + 3c Combine like terms: 3 + 8 = 11 -8 = 11 + -2c + 3c Combine like terms: -2c + 3c = 1c -8 = 11 + 1c Solving -8 = 11 + 1c 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. -8 + -1c = 11 + 1c + -1c Combine like terms: 1c + -1c = 0 -8 + -1c = 11 + 0 -8 + -1c = 11 Add '8' to each side of the equation. -8 + 8 + -1c = 11 + 8 Combine like terms: -8 + 8 = 0 0 + -1c = 11 + 8 -1c = 11 + 8 Combine like terms: 11 + 8 = 19 -1c = 19 Divide each side by '-1'. c = -19 Simplifying c = -19
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