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Simplifying -6(11p + -8) + 4(-2p + -12) = 3p Reorder the terms: -6(-8 + 11p) + 4(-2p + -12) = 3p (-8 * -6 + 11p * -6) + 4(-2p + -12) = 3p (48 + -66p) + 4(-2p + -12) = 3p Reorder the terms: 48 + -66p + 4(-12 + -2p) = 3p 48 + -66p + (-12 * 4 + -2p * 4) = 3p 48 + -66p + (-48 + -8p) = 3p Reorder the terms: 48 + -48 + -66p + -8p = 3p Combine like terms: 48 + -48 = 0 0 + -66p + -8p = 3p -66p + -8p = 3p Combine like terms: -66p + -8p = -74p -74p = 3p Solving -74p = 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. -74p + -3p = 3p + -3p Combine like terms: -74p + -3p = -77p -77p = 3p + -3p Combine like terms: 3p + -3p = 0 -77p = 0 Divide each side by '-77'. p = 0 Simplifying p = 0
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