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Simplifying -4(-4p + -7) + -1p = 6p + 10 Reorder the terms: -4(-7 + -4p) + -1p = 6p + 10 (-7 * -4 + -4p * -4) + -1p = 6p + 10 (28 + 16p) + -1p = 6p + 10 Combine like terms: 16p + -1p = 15p 28 + 15p = 6p + 10 Reorder the terms: 28 + 15p = 10 + 6p Solving 28 + 15p = 10 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 28 + 15p + -6p = 10 + 6p + -6p Combine like terms: 15p + -6p = 9p 28 + 9p = 10 + 6p + -6p Combine like terms: 6p + -6p = 0 28 + 9p = 10 + 0 28 + 9p = 10 Add '-28' to each side of the equation. 28 + -28 + 9p = 10 + -28 Combine like terms: 28 + -28 = 0 0 + 9p = 10 + -28 9p = 10 + -28 Combine like terms: 10 + -28 = -18 9p = -18 Divide each side by '9'. p = -2 Simplifying p = -2
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