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Simplifying (1 + -7c) + -1(13c + 6) = 0 Remove parenthesis around (1 + -7c) 1 + -7c + -1(13c + 6) = 0 Reorder the terms: 1 + -7c + -1(6 + 13c) = 0 1 + -7c + (6 * -1 + 13c * -1) = 0 1 + -7c + (-6 + -13c) = 0 Reorder the terms: 1 + -6 + -7c + -13c = 0 Combine like terms: 1 + -6 = -5 -5 + -7c + -13c = 0 Combine like terms: -7c + -13c = -20c -5 + -20c = 0 Solving -5 + -20c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -20c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -20c = 0 + 5 -20c = 0 + 5 Combine like terms: 0 + 5 = 5 -20c = 5 Divide each side by '-20'. c = -0.25 Simplifying c = -0.25
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