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Simplifying 3 + -1(3c + -2) = c + -10 Reorder the terms: 3 + -1(-2 + 3c) = c + -10 3 + (-2 * -1 + 3c * -1) = c + -10 3 + (2 + -3c) = c + -10 Combine like terms: 3 + 2 = 5 5 + -3c = c + -10 Reorder the terms: 5 + -3c = -10 + c Solving 5 + -3c = -10 + 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. 5 + -3c + -1c = -10 + c + -1c Combine like terms: -3c + -1c = -4c 5 + -4c = -10 + c + -1c Combine like terms: c + -1c = 0 5 + -4c = -10 + 0 5 + -4c = -10 Add '-5' to each side of the equation. 5 + -5 + -4c = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -4c = -10 + -5 -4c = -10 + -5 Combine like terms: -10 + -5 = -15 -4c = -15 Divide each side by '-4'. c = 3.75 Simplifying c = 3.75
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