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Simplifying -6(5p + 3) + -22 = 5(2p + 8) Reorder the terms: -6(3 + 5p) + -22 = 5(2p + 8) (3 * -6 + 5p * -6) + -22 = 5(2p + 8) (-18 + -30p) + -22 = 5(2p + 8) Reorder the terms: -18 + -22 + -30p = 5(2p + 8) Combine like terms: -18 + -22 = -40 -40 + -30p = 5(2p + 8) Reorder the terms: -40 + -30p = 5(8 + 2p) -40 + -30p = (8 * 5 + 2p * 5) -40 + -30p = (40 + 10p) Solving -40 + -30p = 40 + 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. -40 + -30p + -10p = 40 + 10p + -10p Combine like terms: -30p + -10p = -40p -40 + -40p = 40 + 10p + -10p Combine like terms: 10p + -10p = 0 -40 + -40p = 40 + 0 -40 + -40p = 40 Add '40' to each side of the equation. -40 + 40 + -40p = 40 + 40 Combine like terms: -40 + 40 = 0 0 + -40p = 40 + 40 -40p = 40 + 40 Combine like terms: 40 + 40 = 80 -40p = 80 Divide each side by '-40'. p = -2 Simplifying p = -2
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