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Simplifying -33 + 6p = 5(5p + 1) Reorder the terms: -33 + 6p = 5(1 + 5p) -33 + 6p = (1 * 5 + 5p * 5) -33 + 6p = (5 + 25p) Solving -33 + 6p = 5 + 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. -33 + 6p + -25p = 5 + 25p + -25p Combine like terms: 6p + -25p = -19p -33 + -19p = 5 + 25p + -25p Combine like terms: 25p + -25p = 0 -33 + -19p = 5 + 0 -33 + -19p = 5 Add '33' to each side of the equation. -33 + 33 + -19p = 5 + 33 Combine like terms: -33 + 33 = 0 0 + -19p = 5 + 33 -19p = 5 + 33 Combine like terms: 5 + 33 = 38 -19p = 38 Divide each side by '-19'. p = -2 Simplifying p = -2
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