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Simplifying 5(7p + -3) + -7(3p + -2) + 3 = 0 Reorder the terms: 5(-3 + 7p) + -7(3p + -2) + 3 = 0 (-3 * 5 + 7p * 5) + -7(3p + -2) + 3 = 0 (-15 + 35p) + -7(3p + -2) + 3 = 0 Reorder the terms: -15 + 35p + -7(-2 + 3p) + 3 = 0 -15 + 35p + (-2 * -7 + 3p * -7) + 3 = 0 -15 + 35p + (14 + -21p) + 3 = 0 Reorder the terms: -15 + 14 + 3 + 35p + -21p = 0 Combine like terms: -15 + 14 = -1 -1 + 3 + 35p + -21p = 0 Combine like terms: -1 + 3 = 2 2 + 35p + -21p = 0 Combine like terms: 35p + -21p = 14p 2 + 14p = 0 Solving 2 + 14p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 14p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 14p = 0 + -2 14p = 0 + -2 Combine like terms: 0 + -2 = -2 14p = -2 Divide each side by '14'. p = -0.1428571429 Simplifying p = -0.1428571429
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