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