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Simplifying 3 + 3p + -5p + 19 = 10p + 130 + -3P Reorder the terms: 3 + 19 + 3p + -5p = 10p + 130 + -3P Combine like terms: 3 + 19 = 22 22 + 3p + -5p = 10p + 130 + -3P Combine like terms: 3p + -5p = -2p 22 + -2p = 10p + 130 + -3P Reorder the terms: 22 + -2p = 130 + -3P + 10p Solving 22 + -2p = 130 + -3P + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 22 + -2p + -10p = 130 + -3P + 10p + -10p Combine like terms: -2p + -10p = -12p 22 + -12p = 130 + -3P + 10p + -10p Combine like terms: 10p + -10p = 0 22 + -12p = 130 + -3P + 0 22 + -12p = 130 + -3P Add '-22' to each side of the equation. 22 + -22 + -12p = 130 + -22 + -3P Combine like terms: 22 + -22 = 0 0 + -12p = 130 + -22 + -3P -12p = 130 + -22 + -3P Combine like terms: 130 + -22 = 108 -12p = 108 + -3P Divide each side by '-12'. p = -9 + 0.25P Simplifying p = -9 + 0.25P
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