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Simplifying -3(2p + 5) + -10 = -2(p + 6) + 3 Reorder the terms: -3(5 + 2p) + -10 = -2(p + 6) + 3 (5 * -3 + 2p * -3) + -10 = -2(p + 6) + 3 (-15 + -6p) + -10 = -2(p + 6) + 3 Reorder the terms: -15 + -10 + -6p = -2(p + 6) + 3 Combine like terms: -15 + -10 = -25 -25 + -6p = -2(p + 6) + 3 Reorder the terms: -25 + -6p = -2(6 + p) + 3 -25 + -6p = (6 * -2 + p * -2) + 3 -25 + -6p = (-12 + -2p) + 3 Reorder the terms: -25 + -6p = -12 + 3 + -2p Combine like terms: -12 + 3 = -9 -25 + -6p = -9 + -2p Solving -25 + -6p = -9 + -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 + -6p + 2p = -9 + -2p + 2p Combine like terms: -6p + 2p = -4p -25 + -4p = -9 + -2p + 2p Combine like terms: -2p + 2p = 0 -25 + -4p = -9 + 0 -25 + -4p = -9 Add '25' to each side of the equation. -25 + 25 + -4p = -9 + 25 Combine like terms: -25 + 25 = 0 0 + -4p = -9 + 25 -4p = -9 + 25 Combine like terms: -9 + 25 = 16 -4p = 16 Divide each side by '-4'. p = -4 Simplifying p = -4
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