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Simplifying -8(2p + -4) = -6p + 22 Reorder the terms: -8(-4 + 2p) = -6p + 22 (-4 * -8 + 2p * -8) = -6p + 22 (32 + -16p) = -6p + 22 Reorder the terms: 32 + -16p = 22 + -6p Solving 32 + -16p = 22 + -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 = 22 + -6p + 6p Combine like terms: -16p + 6p = -10p 32 + -10p = 22 + -6p + 6p Combine like terms: -6p + 6p = 0 32 + -10p = 22 + 0 32 + -10p = 22 Add '-32' to each side of the equation. 32 + -32 + -10p = 22 + -32 Combine like terms: 32 + -32 = 0 0 + -10p = 22 + -32 -10p = 22 + -32 Combine like terms: 22 + -32 = -10 -10p = -10 Divide each side by '-10'. p = 1 Simplifying p = 1
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