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Simplifying -34 + 8p = 4(p + -4) + -2p Reorder the terms: -34 + 8p = 4(-4 + p) + -2p -34 + 8p = (-4 * 4 + p * 4) + -2p -34 + 8p = (-16 + 4p) + -2p Combine like terms: 4p + -2p = 2p -34 + 8p = -16 + 2p Solving -34 + 8p = -16 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -34 + 8p + -2p = -16 + 2p + -2p Combine like terms: 8p + -2p = 6p -34 + 6p = -16 + 2p + -2p Combine like terms: 2p + -2p = 0 -34 + 6p = -16 + 0 -34 + 6p = -16 Add '34' to each side of the equation. -34 + 34 + 6p = -16 + 34 Combine like terms: -34 + 34 = 0 0 + 6p = -16 + 34 6p = -16 + 34 Combine like terms: -16 + 34 = 18 6p = 18 Divide each side by '6'. p = 3 Simplifying p = 3
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