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Simplifying -5(8p + 6) + -3p = 7 + -6p Reorder the terms: -5(6 + 8p) + -3p = 7 + -6p (6 * -5 + 8p * -5) + -3p = 7 + -6p (-30 + -40p) + -3p = 7 + -6p Combine like terms: -40p + -3p = -43p -30 + -43p = 7 + -6p Solving -30 + -43p = 7 + -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. -30 + -43p + 6p = 7 + -6p + 6p Combine like terms: -43p + 6p = -37p -30 + -37p = 7 + -6p + 6p Combine like terms: -6p + 6p = 0 -30 + -37p = 7 + 0 -30 + -37p = 7 Add '30' to each side of the equation. -30 + 30 + -37p = 7 + 30 Combine like terms: -30 + 30 = 0 0 + -37p = 7 + 30 -37p = 7 + 30 Combine like terms: 7 + 30 = 37 -37p = 37 Divide each side by '-37'. p = -1 Simplifying p = -1
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