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