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Simplifying -5(2p + 4) + -36 = 4(3p + 8) Reorder the terms: -5(4 + 2p) + -36 = 4(3p + 8) (4 * -5 + 2p * -5) + -36 = 4(3p + 8) (-20 + -10p) + -36 = 4(3p + 8) Reorder the terms: -20 + -36 + -10p = 4(3p + 8) Combine like terms: -20 + -36 = -56 -56 + -10p = 4(3p + 8) Reorder the terms: -56 + -10p = 4(8 + 3p) -56 + -10p = (8 * 4 + 3p * 4) -56 + -10p = (32 + 12p) Solving -56 + -10p = 32 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -56 + -10p + -12p = 32 + 12p + -12p Combine like terms: -10p + -12p = -22p -56 + -22p = 32 + 12p + -12p Combine like terms: 12p + -12p = 0 -56 + -22p = 32 + 0 -56 + -22p = 32 Add '56' to each side of the equation. -56 + 56 + -22p = 32 + 56 Combine like terms: -56 + 56 = 0 0 + -22p = 32 + 56 -22p = 32 + 56 Combine like terms: 32 + 56 = 88 -22p = 88 Divide each side by '-22'. p = -4 Simplifying p = -4
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