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Simplifying -1(6 + 7p) + -5p = -4 + -5(2p + 6) (6 * -1 + 7p * -1) + -5p = -4 + -5(2p + 6) (-6 + -7p) + -5p = -4 + -5(2p + 6) Combine like terms: -7p + -5p = -12p -6 + -12p = -4 + -5(2p + 6) Reorder the terms: -6 + -12p = -4 + -5(6 + 2p) -6 + -12p = -4 + (6 * -5 + 2p * -5) -6 + -12p = -4 + (-30 + -10p) Combine like terms: -4 + -30 = -34 -6 + -12p = -34 + -10p Solving -6 + -12p = -34 + -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. -6 + -12p + 10p = -34 + -10p + 10p Combine like terms: -12p + 10p = -2p -6 + -2p = -34 + -10p + 10p Combine like terms: -10p + 10p = 0 -6 + -2p = -34 + 0 -6 + -2p = -34 Add '6' to each side of the equation. -6 + 6 + -2p = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -2p = -34 + 6 -2p = -34 + 6 Combine like terms: -34 + 6 = -28 -2p = -28 Divide each side by '-2'. p = 14 Simplifying p = 14
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