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Simplifying -25p + -6(2 + -5p) = 2(p + -2) + -17 -25p + (2 * -6 + -5p * -6) = 2(p + -2) + -17 -25p + (-12 + 30p) = 2(p + -2) + -17 Reorder the terms: -12 + -25p + 30p = 2(p + -2) + -17 Combine like terms: -25p + 30p = 5p -12 + 5p = 2(p + -2) + -17 Reorder the terms: -12 + 5p = 2(-2 + p) + -17 -12 + 5p = (-2 * 2 + p * 2) + -17 -12 + 5p = (-4 + 2p) + -17 Reorder the terms: -12 + 5p = -4 + -17 + 2p Combine like terms: -4 + -17 = -21 -12 + 5p = -21 + 2p Solving -12 + 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. -12 + 5p + -2p = -21 + 2p + -2p Combine like terms: 5p + -2p = 3p -12 + 3p = -21 + 2p + -2p Combine like terms: 2p + -2p = 0 -12 + 3p = -21 + 0 -12 + 3p = -21 Add '12' to each side of the equation. -12 + 12 + 3p = -21 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -21 + 12 3p = -21 + 12 Combine like terms: -21 + 12 = -9 3p = -9 Divide each side by '3'. p = -3 Simplifying p = -3
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