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Simplifying 6(6p + 1) + -4(-5 + 8p) = p + -1 + 5p + -1 Reorder the terms: 6(1 + 6p) + -4(-5 + 8p) = p + -1 + 5p + -1 (1 * 6 + 6p * 6) + -4(-5 + 8p) = p + -1 + 5p + -1 (6 + 36p) + -4(-5 + 8p) = p + -1 + 5p + -1 6 + 36p + (-5 * -4 + 8p * -4) = p + -1 + 5p + -1 6 + 36p + (20 + -32p) = p + -1 + 5p + -1 Reorder the terms: 6 + 20 + 36p + -32p = p + -1 + 5p + -1 Combine like terms: 6 + 20 = 26 26 + 36p + -32p = p + -1 + 5p + -1 Combine like terms: 36p + -32p = 4p 26 + 4p = p + -1 + 5p + -1 Reorder the terms: 26 + 4p = -1 + -1 + p + 5p Combine like terms: -1 + -1 = -2 26 + 4p = -2 + p + 5p Combine like terms: p + 5p = 6p 26 + 4p = -2 + 6p Solving 26 + 4p = -2 + 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. 26 + 4p + -6p = -2 + 6p + -6p Combine like terms: 4p + -6p = -2p 26 + -2p = -2 + 6p + -6p Combine like terms: 6p + -6p = 0 26 + -2p = -2 + 0 26 + -2p = -2 Add '-26' to each side of the equation. 26 + -26 + -2p = -2 + -26 Combine like terms: 26 + -26 = 0 0 + -2p = -2 + -26 -2p = -2 + -26 Combine like terms: -2 + -26 = -28 -2p = -28 Divide each side by '-2'. p = 14 Simplifying p = 14
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