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Simplifying 3(-1p + -4) = -6(2 + 2p) + 2p Reorder the terms: 3(-4 + -1p) = -6(2 + 2p) + 2p (-4 * 3 + -1p * 3) = -6(2 + 2p) + 2p (-12 + -3p) = -6(2 + 2p) + 2p -12 + -3p = (2 * -6 + 2p * -6) + 2p -12 + -3p = (-12 + -12p) + 2p Combine like terms: -12p + 2p = -10p -12 + -3p = -12 + -10p Add '12' to each side of the equation. -12 + 12 + -3p = -12 + 12 + -10p Combine like terms: -12 + 12 = 0 0 + -3p = -12 + 12 + -10p -3p = -12 + 12 + -10p Combine like terms: -12 + 12 = 0 -3p = 0 + -10p -3p = -10p Solving -3p = -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. -3p + 10p = -10p + 10p Combine like terms: -3p + 10p = 7p 7p = -10p + 10p Combine like terms: -10p + 10p = 0 7p = 0 Divide each side by '7'. p = 0 Simplifying p = 0
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