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Simplifying -5(5p + 2) + -42 = 2(3p + 5) Reorder the terms: -5(2 + 5p) + -42 = 2(3p + 5) (2 * -5 + 5p * -5) + -42 = 2(3p + 5) (-10 + -25p) + -42 = 2(3p + 5) Reorder the terms: -10 + -42 + -25p = 2(3p + 5) Combine like terms: -10 + -42 = -52 -52 + -25p = 2(3p + 5) Reorder the terms: -52 + -25p = 2(5 + 3p) -52 + -25p = (5 * 2 + 3p * 2) -52 + -25p = (10 + 6p) Solving -52 + -25p = 10 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -52 + -25p + -6p = 10 + 6p + -6p Combine like terms: -25p + -6p = -31p -52 + -31p = 10 + 6p + -6p Combine like terms: 6p + -6p = 0 -52 + -31p = 10 + 0 -52 + -31p = 10 Add '52' to each side of the equation. -52 + 52 + -31p = 10 + 52 Combine like terms: -52 + 52 = 0 0 + -31p = 10 + 52 -31p = 10 + 52 Combine like terms: 10 + 52 = 62 -31p = 62 Divide each side by '-31'. p = -2 Simplifying p = -2
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