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Simplifying 15y + -10 + k = 2k + 2y + -2 Reorder the terms: -10 + k + 15y = 2k + 2y + -2 Reorder the terms: -10 + k + 15y = -2 + 2k + 2y Solving -10 + k + 15y = -2 + 2k + 2y Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -10 + k + -2k + 15y = -2 + 2k + -2k + 2y Combine like terms: k + -2k = -1k -10 + -1k + 15y = -2 + 2k + -2k + 2y Combine like terms: 2k + -2k = 0 -10 + -1k + 15y = -2 + 0 + 2y -10 + -1k + 15y = -2 + 2y Add '10' to each side of the equation. -10 + -1k + 10 + 15y = -2 + 10 + 2y Reorder the terms: -10 + 10 + -1k + 15y = -2 + 10 + 2y Combine like terms: -10 + 10 = 0 0 + -1k + 15y = -2 + 10 + 2y -1k + 15y = -2 + 10 + 2y Combine like terms: -2 + 10 = 8 -1k + 15y = 8 + 2y Add '-15y' to each side of the equation. -1k + 15y + -15y = 8 + 2y + -15y Combine like terms: 15y + -15y = 0 -1k + 0 = 8 + 2y + -15y -1k = 8 + 2y + -15y Combine like terms: 2y + -15y = -13y -1k = 8 + -13y Divide each side by '-1'. k = -8 + 13y Simplifying k = -8 + 13y
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