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Simplifying 8(p + -4) = -6p + 38 Reorder the terms: 8(-4 + p) = -6p + 38 (-4 * 8 + p * 8) = -6p + 38 (-32 + 8p) = -6p + 38 Reorder the terms: -32 + 8p = 38 + -6p Solving -32 + 8p = 38 + -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. -32 + 8p + 6p = 38 + -6p + 6p Combine like terms: 8p + 6p = 14p -32 + 14p = 38 + -6p + 6p Combine like terms: -6p + 6p = 0 -32 + 14p = 38 + 0 -32 + 14p = 38 Add '32' to each side of the equation. -32 + 32 + 14p = 38 + 32 Combine like terms: -32 + 32 = 0 0 + 14p = 38 + 32 14p = 38 + 32 Combine like terms: 38 + 32 = 70 14p = 70 Divide each side by '14'. p = 5 Simplifying p = 5
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