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Simplifying 2p + -1q + -5k = 2(4k + -3t) Reorder the terms: -5k + 2p + -1q = 2(4k + -3t) -5k + 2p + -1q = (4k * 2 + -3t * 2) -5k + 2p + -1q = (8k + -6t) Solving -5k + 2p + -1q = 8k + -6t Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -5k + 2p + -8k + -1q = 8k + -8k + -6t Reorder the terms: -5k + -8k + 2p + -1q = 8k + -8k + -6t Combine like terms: -5k + -8k = -13k -13k + 2p + -1q = 8k + -8k + -6t Combine like terms: 8k + -8k = 0 -13k + 2p + -1q = 0 + -6t -13k + 2p + -1q = -6t Add '-2p' to each side of the equation. -13k + 2p + -2p + -1q = -2p + -6t Combine like terms: 2p + -2p = 0 -13k + 0 + -1q = -2p + -6t -13k + -1q = -2p + -6t Add 'q' to each side of the equation. -13k + -1q + q = -2p + q + -6t Combine like terms: -1q + q = 0 -13k + 0 = -2p + q + -6t -13k = -2p + q + -6t Divide each side by '-13'. k = 0.1538461538p + -0.07692307692q + 0.4615384615t Simplifying k = 0.1538461538p + -0.07692307692q + 0.4615384615t
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