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Simplifying (5 + -3c) + -1(-4 + 6) = (8c + 11) + -1(3c + -6) Remove parenthesis around (5 + -3c) 5 + -3c + -1(-4 + 6) = (8c + 11) + -1(3c + -6) Combine like terms: -4 + 6 = 2 5 + -3c + -1(2) = (8c + 11) + -1(3c + -6) Multiply -1 * 2 5 + -3c + -2 = (8c + 11) + -1(3c + -6) Reorder the terms: 5 + -2 + -3c = (8c + 11) + -1(3c + -6) Combine like terms: 5 + -2 = 3 3 + -3c = (8c + 11) + -1(3c + -6) Reorder the terms: 3 + -3c = (11 + 8c) + -1(3c + -6) Remove parenthesis around (11 + 8c) 3 + -3c = 11 + 8c + -1(3c + -6) Reorder the terms: 3 + -3c = 11 + 8c + -1(-6 + 3c) 3 + -3c = 11 + 8c + (-6 * -1 + 3c * -1) 3 + -3c = 11 + 8c + (6 + -3c) Reorder the terms: 3 + -3c = 11 + 6 + 8c + -3c Combine like terms: 11 + 6 = 17 3 + -3c = 17 + 8c + -3c Combine like terms: 8c + -3c = 5c 3 + -3c = 17 + 5c Solving 3 + -3c = 17 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 3 + -3c + -5c = 17 + 5c + -5c Combine like terms: -3c + -5c = -8c 3 + -8c = 17 + 5c + -5c Combine like terms: 5c + -5c = 0 3 + -8c = 17 + 0 3 + -8c = 17 Add '-3' to each side of the equation. 3 + -3 + -8c = 17 + -3 Combine like terms: 3 + -3 = 0 0 + -8c = 17 + -3 -8c = 17 + -3 Combine like terms: 17 + -3 = 14 -8c = 14 Divide each side by '-8'. c = -1.75 Simplifying c = -1.75
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