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Simplifying 2(6p + -4) + 2(-3 + -5p) = 0 Reorder the terms: 2(-4 + 6p) + 2(-3 + -5p) = 0 (-4 * 2 + 6p * 2) + 2(-3 + -5p) = 0 (-8 + 12p) + 2(-3 + -5p) = 0 -8 + 12p + (-3 * 2 + -5p * 2) = 0 -8 + 12p + (-6 + -10p) = 0 Reorder the terms: -8 + -6 + 12p + -10p = 0 Combine like terms: -8 + -6 = -14 -14 + 12p + -10p = 0 Combine like terms: 12p + -10p = 2p -14 + 2p = 0 Solving -14 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2p = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2p = 0 + 14 2p = 0 + 14 Combine like terms: 0 + 14 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7
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