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Simplifying 4(5p + -4) = 5(5p + -2) Reorder the terms: 4(-4 + 5p) = 5(5p + -2) (-4 * 4 + 5p * 4) = 5(5p + -2) (-16 + 20p) = 5(5p + -2) Reorder the terms: -16 + 20p = 5(-2 + 5p) -16 + 20p = (-2 * 5 + 5p * 5) -16 + 20p = (-10 + 25p) Solving -16 + 20p = -10 + 25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25p' to each side of the equation. -16 + 20p + -25p = -10 + 25p + -25p Combine like terms: 20p + -25p = -5p -16 + -5p = -10 + 25p + -25p Combine like terms: 25p + -25p = 0 -16 + -5p = -10 + 0 -16 + -5p = -10 Add '16' to each side of the equation. -16 + 16 + -5p = -10 + 16 Combine like terms: -16 + 16 = 0 0 + -5p = -10 + 16 -5p = -10 + 16 Combine like terms: -10 + 16 = 6 -5p = 6 Divide each side by '-5'. p = -1.2 Simplifying p = -1.2
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