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Simplifying 5(6p + -5) + -1[3(5p + -2) + 3] = 0 Reorder the terms: 5(-5 + 6p) + -1[3(5p + -2) + 3] = 0 (-5 * 5 + 6p * 5) + -1[3(5p + -2) + 3] = 0 (-25 + 30p) + -1[3(5p + -2) + 3] = 0 Reorder the terms: -25 + 30p + -1[3(-2 + 5p) + 3] = 0 -25 + 30p + -1[(-2 * 3 + 5p * 3) + 3] = 0 -25 + 30p + -1[(-6 + 15p) + 3] = 0 Reorder the terms: -25 + 30p + -1[-6 + 3 + 15p] = 0 Combine like terms: -6 + 3 = -3 -25 + 30p + -1[-3 + 15p] = 0 -25 + 30p + [-3 * -1 + 15p * -1] = 0 -25 + 30p + [3 + -15p] = 0 Reorder the terms: -25 + 3 + 30p + -15p = 0 Combine like terms: -25 + 3 = -22 -22 + 30p + -15p = 0 Combine like terms: 30p + -15p = 15p -22 + 15p = 0 Solving -22 + 15p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 15p = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 15p = 0 + 22 15p = 0 + 22 Combine like terms: 0 + 22 = 22 15p = 22 Divide each side by '15'. p = 1.466666667 Simplifying p = 1.466666667
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