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Simplifying -4(p + 7) + -2 = 10 + 6p Reorder the terms: -4(7 + p) + -2 = 10 + 6p (7 * -4 + p * -4) + -2 = 10 + 6p (-28 + -4p) + -2 = 10 + 6p Reorder the terms: -28 + -2 + -4p = 10 + 6p Combine like terms: -28 + -2 = -30 -30 + -4p = 10 + 6p Solving -30 + -4p = 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. -30 + -4p + -6p = 10 + 6p + -6p Combine like terms: -4p + -6p = -10p -30 + -10p = 10 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + -10p = 10 + 0 -30 + -10p = 10 Add '30' to each side of the equation. -30 + 30 + -10p = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -10p = 10 + 30 -10p = 10 + 30 Combine like terms: 10 + 30 = 40 -10p = 40 Divide each side by '-10'. p = -4 Simplifying p = -4
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