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Simplifying -4(4p + -8) = 6(p + 24) Reorder the terms: -4(-8 + 4p) = 6(p + 24) (-8 * -4 + 4p * -4) = 6(p + 24) (32 + -16p) = 6(p + 24) Reorder the terms: 32 + -16p = 6(24 + p) 32 + -16p = (24 * 6 + p * 6) 32 + -16p = (144 + 6p) Solving 32 + -16p = 144 + 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 + -16p + -6p = 144 + 6p + -6p Combine like terms: -16p + -6p = -22p 32 + -22p = 144 + 6p + -6p Combine like terms: 6p + -6p = 0 32 + -22p = 144 + 0 32 + -22p = 144 Add '-32' to each side of the equation. 32 + -32 + -22p = 144 + -32 Combine like terms: 32 + -32 = 0 0 + -22p = 144 + -32 -22p = 144 + -32 Combine like terms: 144 + -32 = 112 -22p = 112 Divide each side by '-22'. p = -5.090909091 Simplifying p = -5.090909091
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