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Simplifying 5p + -3 = 5(8p + 6) + -4(-5 + 9p) Reorder the terms: -3 + 5p = 5(8p + 6) + -4(-5 + 9p) Reorder the terms: -3 + 5p = 5(6 + 8p) + -4(-5 + 9p) -3 + 5p = (6 * 5 + 8p * 5) + -4(-5 + 9p) -3 + 5p = (30 + 40p) + -4(-5 + 9p) -3 + 5p = 30 + 40p + (-5 * -4 + 9p * -4) -3 + 5p = 30 + 40p + (20 + -36p) Reorder the terms: -3 + 5p = 30 + 20 + 40p + -36p Combine like terms: 30 + 20 = 50 -3 + 5p = 50 + 40p + -36p Combine like terms: 40p + -36p = 4p -3 + 5p = 50 + 4p Solving -3 + 5p = 50 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -3 + 5p + -4p = 50 + 4p + -4p Combine like terms: 5p + -4p = 1p -3 + 1p = 50 + 4p + -4p Combine like terms: 4p + -4p = 0 -3 + 1p = 50 + 0 -3 + 1p = 50 Add '3' to each side of the equation. -3 + 3 + 1p = 50 + 3 Combine like terms: -3 + 3 = 0 0 + 1p = 50 + 3 1p = 50 + 3 Combine like terms: 50 + 3 = 53 1p = 53 Divide each side by '1'. p = 53 Simplifying p = 53
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