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Simplifying -15p + -4(3 + -5p) = 2(p + -4) + -22 -15p + (3 * -4 + -5p * -4) = 2(p + -4) + -22 -15p + (-12 + 20p) = 2(p + -4) + -22 Reorder the terms: -12 + -15p + 20p = 2(p + -4) + -22 Combine like terms: -15p + 20p = 5p -12 + 5p = 2(p + -4) + -22 Reorder the terms: -12 + 5p = 2(-4 + p) + -22 -12 + 5p = (-4 * 2 + p * 2) + -22 -12 + 5p = (-8 + 2p) + -22 Reorder the terms: -12 + 5p = -8 + -22 + 2p Combine like terms: -8 + -22 = -30 -12 + 5p = -30 + 2p Solving -12 + 5p = -30 + 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 = -30 + 2p + -2p Combine like terms: 5p + -2p = 3p -12 + 3p = -30 + 2p + -2p Combine like terms: 2p + -2p = 0 -12 + 3p = -30 + 0 -12 + 3p = -30 Add '12' to each side of the equation. -12 + 12 + 3p = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -30 + 12 3p = -30 + 12 Combine like terms: -30 + 12 = -18 3p = -18 Divide each side by '3'. p = -6 Simplifying p = -6
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