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Simplifying -4(c + 2) = -5(c + -10) Reorder the terms: -4(2 + c) = -5(c + -10) (2 * -4 + c * -4) = -5(c + -10) (-8 + -4c) = -5(c + -10) Reorder the terms: -8 + -4c = -5(-10 + c) -8 + -4c = (-10 * -5 + c * -5) -8 + -4c = (50 + -5c) Solving -8 + -4c = 50 + -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. -8 + -4c + 5c = 50 + -5c + 5c Combine like terms: -4c + 5c = 1c -8 + 1c = 50 + -5c + 5c Combine like terms: -5c + 5c = 0 -8 + 1c = 50 + 0 -8 + 1c = 50 Add '8' to each side of the equation. -8 + 8 + 1c = 50 + 8 Combine like terms: -8 + 8 = 0 0 + 1c = 50 + 8 1c = 50 + 8 Combine like terms: 50 + 8 = 58 1c = 58 Divide each side by '1'. c = 58 Simplifying c = 58
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