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Simplifying 4(3y + 5w + t + -2w + -3k + 5y) = 0 Reorder the terms: 4(-3k + t + 5w + -2w + 3y + 5y) = 0 Combine like terms: 5w + -2w = 3w 4(-3k + t + 3w + 3y + 5y) = 0 Combine like terms: 3y + 5y = 8y 4(-3k + t + 3w + 8y) = 0 (-3k * 4 + t * 4 + 3w * 4 + 8y * 4) = 0 (-12k + 4t + 12w + 32y) = 0 Solving -12k + 4t + 12w + 32y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4t' to each side of the equation. -12k + 4t + 12w + -4t + 32y = 0 + -4t Reorder the terms: -12k + 4t + -4t + 12w + 32y = 0 + -4t Combine like terms: 4t + -4t = 0 -12k + 0 + 12w + 32y = 0 + -4t -12k + 12w + 32y = 0 + -4t Remove the zero: -12k + 12w + 32y = -4t Add '-12w' to each side of the equation. -12k + 12w + -12w + 32y = -4t + -12w Combine like terms: 12w + -12w = 0 -12k + 0 + 32y = -4t + -12w -12k + 32y = -4t + -12w Add '-32y' to each side of the equation. -12k + 32y + -32y = -4t + -12w + -32y Combine like terms: 32y + -32y = 0 -12k + 0 = -4t + -12w + -32y -12k = -4t + -12w + -32y Divide each side by '-12'. k = 0.3333333333t + w + 2.666666667y Simplifying k = 0.3333333333t + w + 2.666666667y
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