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Simplifying -4 + 3(-6p + 2) = -5p + 3(p + 6) Reorder the terms: -4 + 3(2 + -6p) = -5p + 3(p + 6) -4 + (2 * 3 + -6p * 3) = -5p + 3(p + 6) -4 + (6 + -18p) = -5p + 3(p + 6) Combine like terms: -4 + 6 = 2 2 + -18p = -5p + 3(p + 6) Reorder the terms: 2 + -18p = -5p + 3(6 + p) 2 + -18p = -5p + (6 * 3 + p * 3) 2 + -18p = -5p + (18 + 3p) Reorder the terms: 2 + -18p = 18 + -5p + 3p Combine like terms: -5p + 3p = -2p 2 + -18p = 18 + -2p Solving 2 + -18p = 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 + -18p + 2p = 18 + -2p + 2p Combine like terms: -18p + 2p = -16p 2 + -16p = 18 + -2p + 2p Combine like terms: -2p + 2p = 0 2 + -16p = 18 + 0 2 + -16p = 18 Add '-2' to each side of the equation. 2 + -2 + -16p = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -16p = 18 + -2 -16p = 18 + -2 Combine like terms: 18 + -2 = 16 -16p = 16 Divide each side by '-16'. p = -1 Simplifying p = -1
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