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Simplifying 38(p + -1) + 2(p + -3) = -4 Reorder the terms: 38(-1 + p) + 2(p + -3) = -4 (-1 * 38 + p * 38) + 2(p + -3) = -4 (-38 + 38p) + 2(p + -3) = -4 Reorder the terms: -38 + 38p + 2(-3 + p) = -4 -38 + 38p + (-3 * 2 + p * 2) = -4 -38 + 38p + (-6 + 2p) = -4 Reorder the terms: -38 + -6 + 38p + 2p = -4 Combine like terms: -38 + -6 = -44 -44 + 38p + 2p = -4 Combine like terms: 38p + 2p = 40p -44 + 40p = -4 Solving -44 + 40p = -4 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 40p = -4 + 44 Combine like terms: -44 + 44 = 0 0 + 40p = -4 + 44 40p = -4 + 44 Combine like terms: -4 + 44 = 40 40p = 40 Divide each side by '40'. p = 1 Simplifying p = 1
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