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Simplifying -1(2c + -3) + -6(c) = 46 Reorder the terms: -1(-3 + 2c) + -6(c) = 46 (-3 * -1 + 2c * -1) + -6(c) = 46 (3 + -2c) + -6(c) = 46 Combine like terms: -2c + -6c = -8c 3 + -8c = 46 Solving 3 + -8c = 46 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8c = 46 + -3 Combine like terms: 3 + -3 = 0 0 + -8c = 46 + -3 -8c = 46 + -3 Combine like terms: 46 + -3 = 43 -8c = 43 Divide each side by '-8'. c = -5.375 Simplifying c = -5.375
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