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Simplifying -2p + 28 = 3(6p + -4) Reorder the terms: 28 + -2p = 3(6p + -4) Reorder the terms: 28 + -2p = 3(-4 + 6p) 28 + -2p = (-4 * 3 + 6p * 3) 28 + -2p = (-12 + 18p) Solving 28 + -2p = -12 + 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. 28 + -2p + -18p = -12 + 18p + -18p Combine like terms: -2p + -18p = -20p 28 + -20p = -12 + 18p + -18p Combine like terms: 18p + -18p = 0 28 + -20p = -12 + 0 28 + -20p = -12 Add '-28' to each side of the equation. 28 + -28 + -20p = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -20p = -12 + -28 -20p = -12 + -28 Combine like terms: -12 + -28 = -40 -20p = -40 Divide each side by '-20'. p = 2 Simplifying p = 2
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