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Simplifying -4(3p + 4) + -23 = 3(5p + 5) Reorder the terms: -4(4 + 3p) + -23 = 3(5p + 5) (4 * -4 + 3p * -4) + -23 = 3(5p + 5) (-16 + -12p) + -23 = 3(5p + 5) Reorder the terms: -16 + -23 + -12p = 3(5p + 5) Combine like terms: -16 + -23 = -39 -39 + -12p = 3(5p + 5) Reorder the terms: -39 + -12p = 3(5 + 5p) -39 + -12p = (5 * 3 + 5p * 3) -39 + -12p = (15 + 15p) Solving -39 + -12p = 15 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -39 + -12p + -15p = 15 + 15p + -15p Combine like terms: -12p + -15p = -27p -39 + -27p = 15 + 15p + -15p Combine like terms: 15p + -15p = 0 -39 + -27p = 15 + 0 -39 + -27p = 15 Add '39' to each side of the equation. -39 + 39 + -27p = 15 + 39 Combine like terms: -39 + 39 = 0 0 + -27p = 15 + 39 -27p = 15 + 39 Combine like terms: 15 + 39 = 54 -27p = 54 Divide each side by '-27'. p = -2 Simplifying p = -2
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