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Simplifying 1(2p + 3) + -8 = 6p + 29 Reorder the terms: 1(3 + 2p) + -8 = 6p + 29 (3 * 1 + 2p * 1) + -8 = 6p + 29 (3 + 2p) + -8 = 6p + 29 Reorder the terms: 3 + -8 + 2p = 6p + 29 Combine like terms: 3 + -8 = -5 -5 + 2p = 6p + 29 Reorder the terms: -5 + 2p = 29 + 6p Solving -5 + 2p = 29 + 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. -5 + 2p + -6p = 29 + 6p + -6p Combine like terms: 2p + -6p = -4p -5 + -4p = 29 + 6p + -6p Combine like terms: 6p + -6p = 0 -5 + -4p = 29 + 0 -5 + -4p = 29 Add '5' to each side of the equation. -5 + 5 + -4p = 29 + 5 Combine like terms: -5 + 5 = 0 0 + -4p = 29 + 5 -4p = 29 + 5 Combine like terms: 29 + 5 = 34 -4p = 34 Divide each side by '-4'. p = -8.5 Simplifying p = -8.5
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