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Simplifying 28 + 6p = -5p + 8(-1p + -6) Reorder the terms: 28 + 6p = -5p + 8(-6 + -1p) 28 + 6p = -5p + (-6 * 8 + -1p * 8) 28 + 6p = -5p + (-48 + -8p) Reorder the terms: 28 + 6p = -48 + -5p + -8p Combine like terms: -5p + -8p = -13p 28 + 6p = -48 + -13p Solving 28 + 6p = -48 + -13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13p' to each side of the equation. 28 + 6p + 13p = -48 + -13p + 13p Combine like terms: 6p + 13p = 19p 28 + 19p = -48 + -13p + 13p Combine like terms: -13p + 13p = 0 28 + 19p = -48 + 0 28 + 19p = -48 Add '-28' to each side of the equation. 28 + -28 + 19p = -48 + -28 Combine like terms: 28 + -28 = 0 0 + 19p = -48 + -28 19p = -48 + -28 Combine like terms: -48 + -28 = -76 19p = -76 Divide each side by '19'. p = -4 Simplifying p = -4
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