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Simplifying -25p + -6(3 + -5p) = 2(p + -2) + -17 -25p + (3 * -6 + -5p * -6) = 2(p + -2) + -17 -25p + (-18 + 30p) = 2(p + -2) + -17 Reorder the terms: -18 + -25p + 30p = 2(p + -2) + -17 Combine like terms: -25p + 30p = 5p -18 + 5p = 2(p + -2) + -17 Reorder the terms: -18 + 5p = 2(-2 + p) + -17 -18 + 5p = (-2 * 2 + p * 2) + -17 -18 + 5p = (-4 + 2p) + -17 Reorder the terms: -18 + 5p = -4 + -17 + 2p Combine like terms: -4 + -17 = -21 -18 + 5p = -21 + 2p Solving -18 + 5p = -21 + 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. -18 + 5p + -2p = -21 + 2p + -2p Combine like terms: 5p + -2p = 3p -18 + 3p = -21 + 2p + -2p Combine like terms: 2p + -2p = 0 -18 + 3p = -21 + 0 -18 + 3p = -21 Add '18' to each side of the equation. -18 + 18 + 3p = -21 + 18 Combine like terms: -18 + 18 = 0 0 + 3p = -21 + 18 3p = -21 + 18 Combine like terms: -21 + 18 = -3 3p = -3 Divide each side by '3'. p = -1 Simplifying p = -1
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