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Simplifying 4(5p + -3) = 5(p + -1) Reorder the terms: 4(-3 + 5p) = 5(p + -1) (-3 * 4 + 5p * 4) = 5(p + -1) (-12 + 20p) = 5(p + -1) Reorder the terms: -12 + 20p = 5(-1 + p) -12 + 20p = (-1 * 5 + p * 5) -12 + 20p = (-5 + 5p) Solving -12 + 20p = -5 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -12 + 20p + -5p = -5 + 5p + -5p Combine like terms: 20p + -5p = 15p -12 + 15p = -5 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 15p = -5 + 0 -12 + 15p = -5 Add '12' to each side of the equation. -12 + 12 + 15p = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 15p = -5 + 12 15p = -5 + 12 Combine like terms: -5 + 12 = 7 15p = 7 Divide each side by '15'. p = 0.4666666667 Simplifying p = 0.4666666667
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