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Simplifying k * 3(x + -12) + -3x = 12 Reorder the terms: k * 3(-12 + x) + -3x = 12 Reorder the terms for easier multiplication: 3k(-12 + x) + -3x = 12 (-12 * 3k + x * 3k) + -3x = 12 (-36k + 3kx) + -3x = 12 Solving -36k + 3kx + -3x = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3x' to each side of the equation. -36k + 3kx + -3x + 3x = 12 + 3x Combine like terms: -3x + 3x = 0 -36k + 3kx + 0 = 12 + 3x -36k + 3kx = 12 + 3x Reorder the terms: -12 + -36k + 3kx + -3x = 12 + 3x + -12 + -3x Reorder the terms: -12 + -36k + 3kx + -3x = 12 + -12 + 3x + -3x Combine like terms: 12 + -12 = 0 -12 + -36k + 3kx + -3x = 0 + 3x + -3x -12 + -36k + 3kx + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -36k + 3kx + -3x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + -12k + kx + -1x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -12k + kx + -1x)' equal to zero and attempt to solve: Simplifying -4 + -12k + kx + -1x = 0 Solving -4 + -12k + kx + -1x = 0 Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -12k + kx + 4 + -1x = 0 + 4 Reorder the terms: -4 + 4 + -12k + kx + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -12k + kx + -1x = 0 + 4 -12k + kx + -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -12k + kx + -1x = 4 Add 'x' to each side of the equation. -12k + kx + -1x + x = 4 + x Combine like terms: -1x + x = 0 -12k + kx + 0 = 4 + x -12k + kx = 4 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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