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Simplifying -4(p + 1) = -3 + 5(5p + -6) Reorder the terms: -4(1 + p) = -3 + 5(5p + -6) (1 * -4 + p * -4) = -3 + 5(5p + -6) (-4 + -4p) = -3 + 5(5p + -6) Reorder the terms: -4 + -4p = -3 + 5(-6 + 5p) -4 + -4p = -3 + (-6 * 5 + 5p * 5) -4 + -4p = -3 + (-30 + 25p) Combine like terms: -3 + -30 = -33 -4 + -4p = -33 + 25p Solving -4 + -4p = -33 + 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. -4 + -4p + -25p = -33 + 25p + -25p Combine like terms: -4p + -25p = -29p -4 + -29p = -33 + 25p + -25p Combine like terms: 25p + -25p = 0 -4 + -29p = -33 + 0 -4 + -29p = -33 Add '4' to each side of the equation. -4 + 4 + -29p = -33 + 4 Combine like terms: -4 + 4 = 0 0 + -29p = -33 + 4 -29p = -33 + 4 Combine like terms: -33 + 4 = -29 -29p = -29 Divide each side by '-29'. p = 1 Simplifying p = 1
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