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Simplifying 3x(2p + 6) + -6p = 18 Reorder the terms: 3x(6 + 2p) + -6p = 18 (6 * 3x + 2p * 3x) + -6p = 18 Reorder the terms: (6px + 18x) + -6p = 18 (6px + 18x) + -6p = 18 Reorder the terms: -6p + 6px + 18x = 18 Solving -6p + 6px + 18x = 18 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18x' to each side of the equation. -6p + 6px + 18x + -18x = 18 + -18x Combine like terms: 18x + -18x = 0 -6p + 6px + 0 = 18 + -18x -6p + 6px = 18 + -18x Reorder the terms: -18 + -6p + 6px + 18x = 18 + -18x + -18 + 18x Reorder the terms: -18 + -6p + 6px + 18x = 18 + -18 + -18x + 18x Combine like terms: 18 + -18 = 0 -18 + -6p + 6px + 18x = 0 + -18x + 18x -18 + -6p + 6px + 18x = -18x + 18x Combine like terms: -18x + 18x = 0 -18 + -6p + 6px + 18x = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-3 + -1p + px + 3x) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-3 + -1p + px + 3x)' equal to zero and attempt to solve: Simplifying -3 + -1p + px + 3x = 0 Solving -3 + -1p + px + 3x = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1p + px + 3 + 3x = 0 + 3 Reorder the terms: -3 + 3 + -1p + px + 3x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1p + px + 3x = 0 + 3 -1p + px + 3x = 0 + 3 Combine like terms: 0 + 3 = 3 -1p + px + 3x = 3 Add '-3x' to each side of the equation. -1p + px + 3x + -3x = 3 + -3x Combine like terms: 3x + -3x = 0 -1p + px + 0 = 3 + -3x -1p + px = 3 + -3x 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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