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Simplifying -3(p + -2) + -5(3p + 4) + -7p = 36 Reorder the terms: -3(-2 + p) + -5(3p + 4) + -7p = 36 (-2 * -3 + p * -3) + -5(3p + 4) + -7p = 36 (6 + -3p) + -5(3p + 4) + -7p = 36 Reorder the terms: 6 + -3p + -5(4 + 3p) + -7p = 36 6 + -3p + (4 * -5 + 3p * -5) + -7p = 36 6 + -3p + (-20 + -15p) + -7p = 36 Reorder the terms: 6 + -20 + -3p + -15p + -7p = 36 Combine like terms: 6 + -20 = -14 -14 + -3p + -15p + -7p = 36 Combine like terms: -3p + -15p = -18p -14 + -18p + -7p = 36 Combine like terms: -18p + -7p = -25p -14 + -25p = 36 Solving -14 + -25p = 36 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -25p = 36 + 14 Combine like terms: -14 + 14 = 0 0 + -25p = 36 + 14 -25p = 36 + 14 Combine like terms: 36 + 14 = 50 -25p = 50 Divide each side by '-25'. p = -2 Simplifying p = -2
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