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Simplifying 20p + -4(6p + -12) = 8(6p + -12) + -16p Reorder the terms: 20p + -4(-12 + 6p) = 8(6p + -12) + -16p 20p + (-12 * -4 + 6p * -4) = 8(6p + -12) + -16p 20p + (48 + -24p) = 8(6p + -12) + -16p Reorder the terms: 48 + 20p + -24p = 8(6p + -12) + -16p Combine like terms: 20p + -24p = -4p 48 + -4p = 8(6p + -12) + -16p Reorder the terms: 48 + -4p = 8(-12 + 6p) + -16p 48 + -4p = (-12 * 8 + 6p * 8) + -16p 48 + -4p = (-96 + 48p) + -16p Combine like terms: 48p + -16p = 32p 48 + -4p = -96 + 32p Solving 48 + -4p = -96 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. 48 + -4p + -32p = -96 + 32p + -32p Combine like terms: -4p + -32p = -36p 48 + -36p = -96 + 32p + -32p Combine like terms: 32p + -32p = 0 48 + -36p = -96 + 0 48 + -36p = -96 Add '-48' to each side of the equation. 48 + -48 + -36p = -96 + -48 Combine like terms: 48 + -48 = 0 0 + -36p = -96 + -48 -36p = -96 + -48 Combine like terms: -96 + -48 = -144 -36p = -144 Divide each side by '-36'. p = 4 Simplifying p = 4
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