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Simplifying -15 + 5p = 4(7p + 3) + -4 Reorder the terms: -15 + 5p = 4(3 + 7p) + -4 -15 + 5p = (3 * 4 + 7p * 4) + -4 -15 + 5p = (12 + 28p) + -4 Reorder the terms: -15 + 5p = 12 + -4 + 28p Combine like terms: 12 + -4 = 8 -15 + 5p = 8 + 28p Solving -15 + 5p = 8 + 28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-28p' to each side of the equation. -15 + 5p + -28p = 8 + 28p + -28p Combine like terms: 5p + -28p = -23p -15 + -23p = 8 + 28p + -28p Combine like terms: 28p + -28p = 0 -15 + -23p = 8 + 0 -15 + -23p = 8 Add '15' to each side of the equation. -15 + 15 + -23p = 8 + 15 Combine like terms: -15 + 15 = 0 0 + -23p = 8 + 15 -23p = 8 + 15 Combine like terms: 8 + 15 = 23 -23p = 23 Divide each side by '-23'. p = -1 Simplifying p = -1
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