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Simplifying -7(2c + 5) = (c + -6) Reorder the terms: -7(5 + 2c) = (c + -6) (5 * -7 + 2c * -7) = (c + -6) (-35 + -14c) = (c + -6) Reorder the terms: -35 + -14c = (-6 + c) Remove parenthesis around (-6 + c) -35 + -14c = -6 + c Solving -35 + -14c = -6 + 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. -35 + -14c + -1c = -6 + c + -1c Combine like terms: -14c + -1c = -15c -35 + -15c = -6 + c + -1c Combine like terms: c + -1c = 0 -35 + -15c = -6 + 0 -35 + -15c = -6 Add '35' to each side of the equation. -35 + 35 + -15c = -6 + 35 Combine like terms: -35 + 35 = 0 0 + -15c = -6 + 35 -15c = -6 + 35 Combine like terms: -6 + 35 = 29 -15c = 29 Divide each side by '-15'. c = -1.933333333 Simplifying c = -1.933333333
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