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Simplifying -6(2p + 3) + -20 = 2(5p + 3) Reorder the terms: -6(3 + 2p) + -20 = 2(5p + 3) (3 * -6 + 2p * -6) + -20 = 2(5p + 3) (-18 + -12p) + -20 = 2(5p + 3) Reorder the terms: -18 + -20 + -12p = 2(5p + 3) Combine like terms: -18 + -20 = -38 -38 + -12p = 2(5p + 3) Reorder the terms: -38 + -12p = 2(3 + 5p) -38 + -12p = (3 * 2 + 5p * 2) -38 + -12p = (6 + 10p) Solving -38 + -12p = 6 + 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. -38 + -12p + -10p = 6 + 10p + -10p Combine like terms: -12p + -10p = -22p -38 + -22p = 6 + 10p + -10p Combine like terms: 10p + -10p = 0 -38 + -22p = 6 + 0 -38 + -22p = 6 Add '38' to each side of the equation. -38 + 38 + -22p = 6 + 38 Combine like terms: -38 + 38 = 0 0 + -22p = 6 + 38 -22p = 6 + 38 Combine like terms: 6 + 38 = 44 -22p = 44 Divide each side by '-22'. p = -2 Simplifying p = -2
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