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Simplifying 8(2p + -2) = 3(6p + 6) Reorder the terms: 8(-2 + 2p) = 3(6p + 6) (-2 * 8 + 2p * 8) = 3(6p + 6) (-16 + 16p) = 3(6p + 6) Reorder the terms: -16 + 16p = 3(6 + 6p) -16 + 16p = (6 * 3 + 6p * 3) -16 + 16p = (18 + 18p) Solving -16 + 16p = 18 + 18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -16 + 16p + -18p = 18 + 18p + -18p Combine like terms: 16p + -18p = -2p -16 + -2p = 18 + 18p + -18p Combine like terms: 18p + -18p = 0 -16 + -2p = 18 + 0 -16 + -2p = 18 Add '16' to each side of the equation. -16 + 16 + -2p = 18 + 16 Combine like terms: -16 + 16 = 0 0 + -2p = 18 + 16 -2p = 18 + 16 Combine like terms: 18 + 16 = 34 -2p = 34 Divide each side by '-2'. p = -17 Simplifying p = -17
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