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Simplifying -6(2p + 4) + -20 = 5(5p + 6) Reorder the terms: -6(4 + 2p) + -20 = 5(5p + 6) (4 * -6 + 2p * -6) + -20 = 5(5p + 6) (-24 + -12p) + -20 = 5(5p + 6) Reorder the terms: -24 + -20 + -12p = 5(5p + 6) Combine like terms: -24 + -20 = -44 -44 + -12p = 5(5p + 6) Reorder the terms: -44 + -12p = 5(6 + 5p) -44 + -12p = (6 * 5 + 5p * 5) -44 + -12p = (30 + 25p) Solving -44 + -12p = 30 + 25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25p' to each side of the equation. -44 + -12p + -25p = 30 + 25p + -25p Combine like terms: -12p + -25p = -37p -44 + -37p = 30 + 25p + -25p Combine like terms: 25p + -25p = 0 -44 + -37p = 30 + 0 -44 + -37p = 30 Add '44' to each side of the equation. -44 + 44 + -37p = 30 + 44 Combine like terms: -44 + 44 = 0 0 + -37p = 30 + 44 -37p = 30 + 44 Combine like terms: 30 + 44 = 74 -37p = 74 Divide each side by '-37'. p = -2 Simplifying p = -2
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