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Simplifying -5(5p + 2) + -43 = 3(4p + 7) Reorder the terms: -5(2 + 5p) + -43 = 3(4p + 7) (2 * -5 + 5p * -5) + -43 = 3(4p + 7) (-10 + -25p) + -43 = 3(4p + 7) Reorder the terms: -10 + -43 + -25p = 3(4p + 7) Combine like terms: -10 + -43 = -53 -53 + -25p = 3(4p + 7) Reorder the terms: -53 + -25p = 3(7 + 4p) -53 + -25p = (7 * 3 + 4p * 3) -53 + -25p = (21 + 12p) Solving -53 + -25p = 21 + 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. -53 + -25p + -12p = 21 + 12p + -12p Combine like terms: -25p + -12p = -37p -53 + -37p = 21 + 12p + -12p Combine like terms: 12p + -12p = 0 -53 + -37p = 21 + 0 -53 + -37p = 21 Add '53' to each side of the equation. -53 + 53 + -37p = 21 + 53 Combine like terms: -53 + 53 = 0 0 + -37p = 21 + 53 -37p = 21 + 53 Combine like terms: 21 + 53 = 74 -37p = 74 Divide each side by '-37'. p = -2 Simplifying p = -2
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