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Simplifying -13p + -2p = -3(-10p + -4) + 2(11p + -6) Combine like terms: -13p + -2p = -15p -15p = -3(-10p + -4) + 2(11p + -6) Reorder the terms: -15p = -3(-4 + -10p) + 2(11p + -6) -15p = (-4 * -3 + -10p * -3) + 2(11p + -6) -15p = (12 + 30p) + 2(11p + -6) Reorder the terms: -15p = 12 + 30p + 2(-6 + 11p) -15p = 12 + 30p + (-6 * 2 + 11p * 2) -15p = 12 + 30p + (-12 + 22p) Reorder the terms: -15p = 12 + -12 + 30p + 22p Combine like terms: 12 + -12 = 0 -15p = 0 + 30p + 22p -15p = 30p + 22p Combine like terms: 30p + 22p = 52p -15p = 52p Solving -15p = 52p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-52p' to each side of the equation. -15p + -52p = 52p + -52p Combine like terms: -15p + -52p = -67p -67p = 52p + -52p Combine like terms: 52p + -52p = 0 -67p = 0 Divide each side by '-67'. p = 0 Simplifying p = 0
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