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Simplifying -1(14 + 2c) = 5(c + -7) (14 * -1 + 2c * -1) = 5(c + -7) (-14 + -2c) = 5(c + -7) Reorder the terms: -14 + -2c = 5(-7 + c) -14 + -2c = (-7 * 5 + c * 5) -14 + -2c = (-35 + 5c) Solving -14 + -2c = -35 + 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. -14 + -2c + -5c = -35 + 5c + -5c Combine like terms: -2c + -5c = -7c -14 + -7c = -35 + 5c + -5c Combine like terms: 5c + -5c = 0 -14 + -7c = -35 + 0 -14 + -7c = -35 Add '14' to each side of the equation. -14 + 14 + -7c = -35 + 14 Combine like terms: -14 + 14 = 0 0 + -7c = -35 + 14 -7c = -35 + 14 Combine like terms: -35 + 14 = -21 -7c = -21 Divide each side by '-7'. c = 3 Simplifying c = 3
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