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Simplifying 5p + -1 = 3(p + -2) + -2(8 + -3p) Reorder the terms: -1 + 5p = 3(p + -2) + -2(8 + -3p) Reorder the terms: -1 + 5p = 3(-2 + p) + -2(8 + -3p) -1 + 5p = (-2 * 3 + p * 3) + -2(8 + -3p) -1 + 5p = (-6 + 3p) + -2(8 + -3p) -1 + 5p = -6 + 3p + (8 * -2 + -3p * -2) -1 + 5p = -6 + 3p + (-16 + 6p) Reorder the terms: -1 + 5p = -6 + -16 + 3p + 6p Combine like terms: -6 + -16 = -22 -1 + 5p = -22 + 3p + 6p Combine like terms: 3p + 6p = 9p -1 + 5p = -22 + 9p Solving -1 + 5p = -22 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -1 + 5p + -9p = -22 + 9p + -9p Combine like terms: 5p + -9p = -4p -1 + -4p = -22 + 9p + -9p Combine like terms: 9p + -9p = 0 -1 + -4p = -22 + 0 -1 + -4p = -22 Add '1' to each side of the equation. -1 + 1 + -4p = -22 + 1 Combine like terms: -1 + 1 = 0 0 + -4p = -22 + 1 -4p = -22 + 1 Combine like terms: -22 + 1 = -21 -4p = -21 Divide each side by '-4'. p = 5.25 Simplifying p = 5.25
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