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Simplifying -4(4p + 4) + -46 = 5(5p + 4) Reorder the terms: -4(4 + 4p) + -46 = 5(5p + 4) (4 * -4 + 4p * -4) + -46 = 5(5p + 4) (-16 + -16p) + -46 = 5(5p + 4) Reorder the terms: -16 + -46 + -16p = 5(5p + 4) Combine like terms: -16 + -46 = -62 -62 + -16p = 5(5p + 4) Reorder the terms: -62 + -16p = 5(4 + 5p) -62 + -16p = (4 * 5 + 5p * 5) -62 + -16p = (20 + 25p) Solving -62 + -16p = 20 + 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. -62 + -16p + -25p = 20 + 25p + -25p Combine like terms: -16p + -25p = -41p -62 + -41p = 20 + 25p + -25p Combine like terms: 25p + -25p = 0 -62 + -41p = 20 + 0 -62 + -41p = 20 Add '62' to each side of the equation. -62 + 62 + -41p = 20 + 62 Combine like terms: -62 + 62 = 0 0 + -41p = 20 + 62 -41p = 20 + 62 Combine like terms: 20 + 62 = 82 -41p = 82 Divide each side by '-41'. p = -2 Simplifying p = -2
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