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Simplifying 7(-2 + -1p) + -9p = 2(-10p + -11) (-2 * 7 + -1p * 7) + -9p = 2(-10p + -11) (-14 + -7p) + -9p = 2(-10p + -11) Combine like terms: -7p + -9p = -16p -14 + -16p = 2(-10p + -11) Reorder the terms: -14 + -16p = 2(-11 + -10p) -14 + -16p = (-11 * 2 + -10p * 2) -14 + -16p = (-22 + -20p) Solving -14 + -16p = -22 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. -14 + -16p + 20p = -22 + -20p + 20p Combine like terms: -16p + 20p = 4p -14 + 4p = -22 + -20p + 20p Combine like terms: -20p + 20p = 0 -14 + 4p = -22 + 0 -14 + 4p = -22 Add '14' to each side of the equation. -14 + 14 + 4p = -22 + 14 Combine like terms: -14 + 14 = 0 0 + 4p = -22 + 14 4p = -22 + 14 Combine like terms: -22 + 14 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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