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Simplifying (k + -6) * x + -3 = 15 Reorder the terms: (-6 + k) * x + -3 = 15 Reorder the terms for easier multiplication: x(-6 + k) + -3 = 15 (-6 * x + k * x) + -3 = 15 Reorder the terms: (kx + -6x) + -3 = 15 (kx + -6x) + -3 = 15 Reorder the terms: -3 + kx + -6x = 15 Solving -3 + kx + -6x = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + kx + 3 + -6x = 15 + 3 Reorder the terms: -3 + 3 + kx + -6x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + kx + -6x = 15 + 3 kx + -6x = 15 + 3 Combine like terms: 15 + 3 = 18 kx + -6x = 18 Add '6x' to each side of the equation. kx + -6x + 6x = 18 + 6x Combine like terms: -6x + 6x = 0 kx + 0 = 18 + 6x kx = 18 + 6x Divide each side by 'x'. k = 18x-1 + 6 Simplifying k = 18x-1 + 6 Reorder the terms: k = 6 + 18x-1
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