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Simplifying 3p + -34 = -8(1 + -2p) Reorder the terms: -34 + 3p = -8(1 + -2p) -34 + 3p = (1 * -8 + -2p * -8) -34 + 3p = (-8 + 16p) Solving -34 + 3p = -8 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -34 + 3p + -16p = -8 + 16p + -16p Combine like terms: 3p + -16p = -13p -34 + -13p = -8 + 16p + -16p Combine like terms: 16p + -16p = 0 -34 + -13p = -8 + 0 -34 + -13p = -8 Add '34' to each side of the equation. -34 + 34 + -13p = -8 + 34 Combine like terms: -34 + 34 = 0 0 + -13p = -8 + 34 -13p = -8 + 34 Combine like terms: -8 + 34 = 26 -13p = 26 Divide each side by '-13'. p = -2 Simplifying p = -2
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