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Simplifying 2(2p + -6) = 7p + -1(p + 4) Reorder the terms: 2(-6 + 2p) = 7p + -1(p + 4) (-6 * 2 + 2p * 2) = 7p + -1(p + 4) (-12 + 4p) = 7p + -1(p + 4) Reorder the terms: -12 + 4p = 7p + -1(4 + p) -12 + 4p = 7p + (4 * -1 + p * -1) -12 + 4p = 7p + (-4 + -1p) Reorder the terms: -12 + 4p = -4 + 7p + -1p Combine like terms: 7p + -1p = 6p -12 + 4p = -4 + 6p Solving -12 + 4p = -4 + 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. -12 + 4p + -6p = -4 + 6p + -6p Combine like terms: 4p + -6p = -2p -12 + -2p = -4 + 6p + -6p Combine like terms: 6p + -6p = 0 -12 + -2p = -4 + 0 -12 + -2p = -4 Add '12' to each side of the equation. -12 + 12 + -2p = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -2p = -4 + 12 -2p = -4 + 12 Combine like terms: -4 + 12 = 8 -2p = 8 Divide each side by '-2'. p = -4 Simplifying p = -4
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