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Simplifying -17p + -4(4 + -6p) = 4(p + -4) + -15 -17p + (4 * -4 + -6p * -4) = 4(p + -4) + -15 -17p + (-16 + 24p) = 4(p + -4) + -15 Reorder the terms: -16 + -17p + 24p = 4(p + -4) + -15 Combine like terms: -17p + 24p = 7p -16 + 7p = 4(p + -4) + -15 Reorder the terms: -16 + 7p = 4(-4 + p) + -15 -16 + 7p = (-4 * 4 + p * 4) + -15 -16 + 7p = (-16 + 4p) + -15 Reorder the terms: -16 + 7p = -16 + -15 + 4p Combine like terms: -16 + -15 = -31 -16 + 7p = -31 + 4p Solving -16 + 7p = -31 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -16 + 7p + -4p = -31 + 4p + -4p Combine like terms: 7p + -4p = 3p -16 + 3p = -31 + 4p + -4p Combine like terms: 4p + -4p = 0 -16 + 3p = -31 + 0 -16 + 3p = -31 Add '16' to each side of the equation. -16 + 16 + 3p = -31 + 16 Combine like terms: -16 + 16 = 0 0 + 3p = -31 + 16 3p = -31 + 16 Combine like terms: -31 + 16 = -15 3p = -15 Divide each side by '3'. p = -5 Simplifying p = -5
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