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Simplifying -23p + -6(5 + -5p) = 4(p + -5) + -25 -23p + (5 * -6 + -5p * -6) = 4(p + -5) + -25 -23p + (-30 + 30p) = 4(p + -5) + -25 Reorder the terms: -30 + -23p + 30p = 4(p + -5) + -25 Combine like terms: -23p + 30p = 7p -30 + 7p = 4(p + -5) + -25 Reorder the terms: -30 + 7p = 4(-5 + p) + -25 -30 + 7p = (-5 * 4 + p * 4) + -25 -30 + 7p = (-20 + 4p) + -25 Reorder the terms: -30 + 7p = -20 + -25 + 4p Combine like terms: -20 + -25 = -45 -30 + 7p = -45 + 4p Solving -30 + 7p = -45 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -30 + 7p + -4p = -45 + 4p + -4p Combine like terms: 7p + -4p = 3p -30 + 3p = -45 + 4p + -4p Combine like terms: 4p + -4p = 0 -30 + 3p = -45 + 0 -30 + 3p = -45 Add '30' to each side of the equation. -30 + 30 + 3p = -45 + 30 Combine like terms: -30 + 30 = 0 0 + 3p = -45 + 30 3p = -45 + 30 Combine like terms: -45 + 30 = -15 3p = -15 Divide each side by '3'. p = -5 Simplifying p = -5
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