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Simplifying 4x + 5y + 3z + 2w + -7p = -54 Reorder the terms: -7p + 2w + 4x + 5y + 3z = -54 Solving -7p + 2w + 4x + 5y + 3z = -54 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2w' to each side of the equation. -7p + 2w + 4x + 5y + -2w + 3z = -54 + -2w Reorder the terms: -7p + 2w + -2w + 4x + 5y + 3z = -54 + -2w Combine like terms: 2w + -2w = 0 -7p + 0 + 4x + 5y + 3z = -54 + -2w -7p + 4x + 5y + 3z = -54 + -2w Add '-4x' to each side of the equation. -7p + 4x + 5y + -4x + 3z = -54 + -2w + -4x Reorder the terms: -7p + 4x + -4x + 5y + 3z = -54 + -2w + -4x Combine like terms: 4x + -4x = 0 -7p + 0 + 5y + 3z = -54 + -2w + -4x -7p + 5y + 3z = -54 + -2w + -4x Add '-5y' to each side of the equation. -7p + 5y + -5y + 3z = -54 + -2w + -4x + -5y Combine like terms: 5y + -5y = 0 -7p + 0 + 3z = -54 + -2w + -4x + -5y -7p + 3z = -54 + -2w + -4x + -5y Add '-3z' to each side of the equation. -7p + 3z + -3z = -54 + -2w + -4x + -5y + -3z Combine like terms: 3z + -3z = 0 -7p + 0 = -54 + -2w + -4x + -5y + -3z -7p = -54 + -2w + -4x + -5y + -3z Divide each side by '-7'. p = 7.714285714 + 0.2857142857w + 0.5714285714x + 0.7142857143y + 0.4285714286z Simplifying p = 7.714285714 + 0.2857142857w + 0.5714285714x + 0.7142857143y + 0.4285714286z
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