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Simplifying 4(-7p + -2) + -6 = -6(5p + 9) Reorder the terms: 4(-2 + -7p) + -6 = -6(5p + 9) (-2 * 4 + -7p * 4) + -6 = -6(5p + 9) (-8 + -28p) + -6 = -6(5p + 9) Reorder the terms: -8 + -6 + -28p = -6(5p + 9) Combine like terms: -8 + -6 = -14 -14 + -28p = -6(5p + 9) Reorder the terms: -14 + -28p = -6(9 + 5p) -14 + -28p = (9 * -6 + 5p * -6) -14 + -28p = (-54 + -30p) Solving -14 + -28p = -54 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. -14 + -28p + 30p = -54 + -30p + 30p Combine like terms: -28p + 30p = 2p -14 + 2p = -54 + -30p + 30p Combine like terms: -30p + 30p = 0 -14 + 2p = -54 + 0 -14 + 2p = -54 Add '14' to each side of the equation. -14 + 14 + 2p = -54 + 14 Combine like terms: -14 + 14 = 0 0 + 2p = -54 + 14 2p = -54 + 14 Combine like terms: -54 + 14 = -40 2p = -40 Divide each side by '2'. p = -20 Simplifying p = -20
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