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Simplifying 5p + -17 = 2(2p + -7) * 3 Reorder the terms: -17 + 5p = 2(2p + -7) * 3 Reorder the terms: -17 + 5p = 2(-7 + 2p) * 3 Reorder the terms for easier multiplication: -17 + 5p = 2 * 3(-7 + 2p) Multiply 2 * 3 -17 + 5p = 6(-7 + 2p) -17 + 5p = (-7 * 6 + 2p * 6) -17 + 5p = (-42 + 12p) Solving -17 + 5p = -42 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -17 + 5p + -12p = -42 + 12p + -12p Combine like terms: 5p + -12p = -7p -17 + -7p = -42 + 12p + -12p Combine like terms: 12p + -12p = 0 -17 + -7p = -42 + 0 -17 + -7p = -42 Add '17' to each side of the equation. -17 + 17 + -7p = -42 + 17 Combine like terms: -17 + 17 = 0 0 + -7p = -42 + 17 -7p = -42 + 17 Combine like terms: -42 + 17 = -25 -7p = -25 Divide each side by '-7'. p = 3.571428571 Simplifying p = 3.571428571
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