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Simplifying -38 + -4p = -3p + -1(7p + 8) Reorder the terms: -38 + -4p = -3p + -1(8 + 7p) -38 + -4p = -3p + (8 * -1 + 7p * -1) -38 + -4p = -3p + (-8 + -7p) Reorder the terms: -38 + -4p = -8 + -3p + -7p Combine like terms: -3p + -7p = -10p -38 + -4p = -8 + -10p Solving -38 + -4p = -8 + -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 + -4p + 10p = -8 + -10p + 10p Combine like terms: -4p + 10p = 6p -38 + 6p = -8 + -10p + 10p Combine like terms: -10p + 10p = 0 -38 + 6p = -8 + 0 -38 + 6p = -8 Add '38' to each side of the equation. -38 + 38 + 6p = -8 + 38 Combine like terms: -38 + 38 = 0 0 + 6p = -8 + 38 6p = -8 + 38 Combine like terms: -8 + 38 = 30 6p = 30 Divide each side by '6'. p = 5 Simplifying p = 5
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