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Simplifying -5(4p + 2) + -38 = 2(3p + 2) Reorder the terms: -5(2 + 4p) + -38 = 2(3p + 2) (2 * -5 + 4p * -5) + -38 = 2(3p + 2) (-10 + -20p) + -38 = 2(3p + 2) Reorder the terms: -10 + -38 + -20p = 2(3p + 2) Combine like terms: -10 + -38 = -48 -48 + -20p = 2(3p + 2) Reorder the terms: -48 + -20p = 2(2 + 3p) -48 + -20p = (2 * 2 + 3p * 2) -48 + -20p = (4 + 6p) Solving -48 + -20p = 4 + 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. -48 + -20p + -6p = 4 + 6p + -6p Combine like terms: -20p + -6p = -26p -48 + -26p = 4 + 6p + -6p Combine like terms: 6p + -6p = 0 -48 + -26p = 4 + 0 -48 + -26p = 4 Add '48' to each side of the equation. -48 + 48 + -26p = 4 + 48 Combine like terms: -48 + 48 = 0 0 + -26p = 4 + 48 -26p = 4 + 48 Combine like terms: 4 + 48 = 52 -26p = 52 Divide each side by '-26'. p = -2 Simplifying p = -2
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