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Simplifying 3(2p + -4) + -6 = -6(p + -5) + 12 Reorder the terms: 3(-4 + 2p) + -6 = -6(p + -5) + 12 (-4 * 3 + 2p * 3) + -6 = -6(p + -5) + 12 (-12 + 6p) + -6 = -6(p + -5) + 12 Reorder the terms: -12 + -6 + 6p = -6(p + -5) + 12 Combine like terms: -12 + -6 = -18 -18 + 6p = -6(p + -5) + 12 Reorder the terms: -18 + 6p = -6(-5 + p) + 12 -18 + 6p = (-5 * -6 + p * -6) + 12 -18 + 6p = (30 + -6p) + 12 Reorder the terms: -18 + 6p = 30 + 12 + -6p Combine like terms: 30 + 12 = 42 -18 + 6p = 42 + -6p Solving -18 + 6p = 42 + -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. -18 + 6p + 6p = 42 + -6p + 6p Combine like terms: 6p + 6p = 12p -18 + 12p = 42 + -6p + 6p Combine like terms: -6p + 6p = 0 -18 + 12p = 42 + 0 -18 + 12p = 42 Add '18' to each side of the equation. -18 + 18 + 12p = 42 + 18 Combine like terms: -18 + 18 = 0 0 + 12p = 42 + 18 12p = 42 + 18 Combine like terms: 42 + 18 = 60 12p = 60 Divide each side by '12'. p = 5 Simplifying p = 5
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