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Simplifying 5(3p + -1) + 2 = 3(w + -2) + -4 Reorder the terms: 5(-1 + 3p) + 2 = 3(w + -2) + -4 (-1 * 5 + 3p * 5) + 2 = 3(w + -2) + -4 (-5 + 15p) + 2 = 3(w + -2) + -4 Reorder the terms: -5 + 2 + 15p = 3(w + -2) + -4 Combine like terms: -5 + 2 = -3 -3 + 15p = 3(w + -2) + -4 Reorder the terms: -3 + 15p = 3(-2 + w) + -4 -3 + 15p = (-2 * 3 + w * 3) + -4 -3 + 15p = (-6 + 3w) + -4 Reorder the terms: -3 + 15p = -6 + -4 + 3w Combine like terms: -6 + -4 = -10 -3 + 15p = -10 + 3w Solving -3 + 15p = -10 + 3w Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 15p = -10 + 3 + 3w Combine like terms: -3 + 3 = 0 0 + 15p = -10 + 3 + 3w 15p = -10 + 3 + 3w Combine like terms: -10 + 3 = -7 15p = -7 + 3w Divide each side by '15'. p = -0.4666666667 + 0.2w Simplifying p = -0.4666666667 + 0.2w
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