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Simplifying -18p + -5(5 + -5p) = 2(p + -3) + -34 -18p + (5 * -5 + -5p * -5) = 2(p + -3) + -34 -18p + (-25 + 25p) = 2(p + -3) + -34 Reorder the terms: -25 + -18p + 25p = 2(p + -3) + -34 Combine like terms: -18p + 25p = 7p -25 + 7p = 2(p + -3) + -34 Reorder the terms: -25 + 7p = 2(-3 + p) + -34 -25 + 7p = (-3 * 2 + p * 2) + -34 -25 + 7p = (-6 + 2p) + -34 Reorder the terms: -25 + 7p = -6 + -34 + 2p Combine like terms: -6 + -34 = -40 -25 + 7p = -40 + 2p Solving -25 + 7p = -40 + 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. -25 + 7p + -2p = -40 + 2p + -2p Combine like terms: 7p + -2p = 5p -25 + 5p = -40 + 2p + -2p Combine like terms: 2p + -2p = 0 -25 + 5p = -40 + 0 -25 + 5p = -40 Add '25' to each side of the equation. -25 + 25 + 5p = -40 + 25 Combine like terms: -25 + 25 = 0 0 + 5p = -40 + 25 5p = -40 + 25 Combine like terms: -40 + 25 = -15 5p = -15 Divide each side by '5'. p = -3 Simplifying p = -3
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