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Simplifying -2 = 6(p + -1) + -4(3 + p) Reorder the terms: -2 = 6(-1 + p) + -4(3 + p) -2 = (-1 * 6 + p * 6) + -4(3 + p) -2 = (-6 + 6p) + -4(3 + p) -2 = -6 + 6p + (3 * -4 + p * -4) -2 = -6 + 6p + (-12 + -4p) Reorder the terms: -2 = -6 + -12 + 6p + -4p Combine like terms: -6 + -12 = -18 -2 = -18 + 6p + -4p Combine like terms: 6p + -4p = 2p -2 = -18 + 2p Solving -2 = -18 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -2 + -2p = -18 + 2p + -2p Combine like terms: 2p + -2p = 0 -2 + -2p = -18 + 0 -2 + -2p = -18 Add '2' to each side of the equation. -2 + 2 + -2p = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -2p = -18 + 2 -2p = -18 + 2 Combine like terms: -18 + 2 = -16 -2p = -16 Divide each side by '-2'. p = 8 Simplifying p = 8
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