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Simplifying -25(c + -4) = -55(c + -10) Reorder the terms: -25(-4 + c) = -55(c + -10) (-4 * -25 + c * -25) = -55(c + -10) (100 + -25c) = -55(c + -10) Reorder the terms: 100 + -25c = -55(-10 + c) 100 + -25c = (-10 * -55 + c * -55) 100 + -25c = (550 + -55c) Solving 100 + -25c = 550 + -55c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '55c' to each side of the equation. 100 + -25c + 55c = 550 + -55c + 55c Combine like terms: -25c + 55c = 30c 100 + 30c = 550 + -55c + 55c Combine like terms: -55c + 55c = 0 100 + 30c = 550 + 0 100 + 30c = 550 Add '-100' to each side of the equation. 100 + -100 + 30c = 550 + -100 Combine like terms: 100 + -100 = 0 0 + 30c = 550 + -100 30c = 550 + -100 Combine like terms: 550 + -100 = 450 30c = 450 Divide each side by '30'. c = 15 Simplifying c = 15
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