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Simplifying 28 + -3p = 4p + -2(p + 6) Reorder the terms: 28 + -3p = 4p + -2(6 + p) 28 + -3p = 4p + (6 * -2 + p * -2) 28 + -3p = 4p + (-12 + -2p) Reorder the terms: 28 + -3p = -12 + 4p + -2p Combine like terms: 4p + -2p = 2p 28 + -3p = -12 + 2p Solving 28 + -3p = -12 + 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. 28 + -3p + -2p = -12 + 2p + -2p Combine like terms: -3p + -2p = -5p 28 + -5p = -12 + 2p + -2p Combine like terms: 2p + -2p = 0 28 + -5p = -12 + 0 28 + -5p = -12 Add '-28' to each side of the equation. 28 + -28 + -5p = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -5p = -12 + -28 -5p = -12 + -28 Combine like terms: -12 + -28 = -40 -5p = -40 Divide each side by '-5'. p = 8 Simplifying p = 8
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