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Simplifying -5(5p + 2) + -48 = 2(4p + 4) Reorder the terms: -5(2 + 5p) + -48 = 2(4p + 4) (2 * -5 + 5p * -5) + -48 = 2(4p + 4) (-10 + -25p) + -48 = 2(4p + 4) Reorder the terms: -10 + -48 + -25p = 2(4p + 4) Combine like terms: -10 + -48 = -58 -58 + -25p = 2(4p + 4) Reorder the terms: -58 + -25p = 2(4 + 4p) -58 + -25p = (4 * 2 + 4p * 2) -58 + -25p = (8 + 8p) Solving -58 + -25p = 8 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -58 + -25p + -8p = 8 + 8p + -8p Combine like terms: -25p + -8p = -33p -58 + -33p = 8 + 8p + -8p Combine like terms: 8p + -8p = 0 -58 + -33p = 8 + 0 -58 + -33p = 8 Add '58' to each side of the equation. -58 + 58 + -33p = 8 + 58 Combine like terms: -58 + 58 = 0 0 + -33p = 8 + 58 -33p = 8 + 58 Combine like terms: 8 + 58 = 66 -33p = 66 Divide each side by '-33'. p = -2 Simplifying p = -2
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