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Simplifying -6(4p + 2) + -21 = 5(2p + 7) Reorder the terms: -6(2 + 4p) + -21 = 5(2p + 7) (2 * -6 + 4p * -6) + -21 = 5(2p + 7) (-12 + -24p) + -21 = 5(2p + 7) Reorder the terms: -12 + -21 + -24p = 5(2p + 7) Combine like terms: -12 + -21 = -33 -33 + -24p = 5(2p + 7) Reorder the terms: -33 + -24p = 5(7 + 2p) -33 + -24p = (7 * 5 + 2p * 5) -33 + -24p = (35 + 10p) Solving -33 + -24p = 35 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -33 + -24p + -10p = 35 + 10p + -10p Combine like terms: -24p + -10p = -34p -33 + -34p = 35 + 10p + -10p Combine like terms: 10p + -10p = 0 -33 + -34p = 35 + 0 -33 + -34p = 35 Add '33' to each side of the equation. -33 + 33 + -34p = 35 + 33 Combine like terms: -33 + 33 = 0 0 + -34p = 35 + 33 -34p = 35 + 33 Combine like terms: 35 + 33 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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