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Simplifying 10x + -2y + 10w + 7y + -3w + 4c = 0 Reorder the terms: 4c + 10w + -3w + 10x + -2y + 7y = 0 Combine like terms: 10w + -3w = 7w 4c + 7w + 10x + -2y + 7y = 0 Combine like terms: -2y + 7y = 5y 4c + 7w + 10x + 5y = 0 Solving 4c + 7w + 10x + 5y = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7w' to each side of the equation. 4c + 7w + 10x + -7w + 5y = 0 + -7w Reorder the terms: 4c + 7w + -7w + 10x + 5y = 0 + -7w Combine like terms: 7w + -7w = 0 4c + 0 + 10x + 5y = 0 + -7w 4c + 10x + 5y = 0 + -7w Remove the zero: 4c + 10x + 5y = -7w Add '-10x' to each side of the equation. 4c + 10x + -10x + 5y = -7w + -10x Combine like terms: 10x + -10x = 0 4c + 0 + 5y = -7w + -10x 4c + 5y = -7w + -10x Add '-5y' to each side of the equation. 4c + 5y + -5y = -7w + -10x + -5y Combine like terms: 5y + -5y = 0 4c + 0 = -7w + -10x + -5y 4c = -7w + -10x + -5y Divide each side by '4'. c = -1.75w + -2.5x + -1.25y Simplifying c = -1.75w + -2.5x + -1.25y
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