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Simplifying -1(7c + 10) = -4(2c + 5) Reorder the terms: -1(10 + 7c) = -4(2c + 5) (10 * -1 + 7c * -1) = -4(2c + 5) (-10 + -7c) = -4(2c + 5) Reorder the terms: -10 + -7c = -4(5 + 2c) -10 + -7c = (5 * -4 + 2c * -4) -10 + -7c = (-20 + -8c) Solving -10 + -7c = -20 + -8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8c' to each side of the equation. -10 + -7c + 8c = -20 + -8c + 8c Combine like terms: -7c + 8c = 1c -10 + 1c = -20 + -8c + 8c Combine like terms: -8c + 8c = 0 -10 + 1c = -20 + 0 -10 + 1c = -20 Add '10' to each side of the equation. -10 + 10 + 1c = -20 + 10 Combine like terms: -10 + 10 = 0 0 + 1c = -20 + 10 1c = -20 + 10 Combine like terms: -20 + 10 = -10 1c = -10 Divide each side by '1'. c = -10 Simplifying c = -10
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