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Simplifying (3c + -8) + -1(-5c + 3) = 0 Reorder the terms: (-8 + 3c) + -1(-5c + 3) = 0 Remove parenthesis around (-8 + 3c) -8 + 3c + -1(-5c + 3) = 0 Reorder the terms: -8 + 3c + -1(3 + -5c) = 0 -8 + 3c + (3 * -1 + -5c * -1) = 0 -8 + 3c + (-3 + 5c) = 0 Reorder the terms: -8 + -3 + 3c + 5c = 0 Combine like terms: -8 + -3 = -11 -11 + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c -11 + 8c = 0 Solving -11 + 8c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 8c = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 8c = 0 + 11 8c = 0 + 11 Combine like terms: 0 + 11 = 11 8c = 11 Divide each side by '8'. c = 1.375 Simplifying c = 1.375
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