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Simplifying 34 = -6(6p + 3) + -4(p + 7) Reorder the terms: 34 = -6(3 + 6p) + -4(p + 7) 34 = (3 * -6 + 6p * -6) + -4(p + 7) 34 = (-18 + -36p) + -4(p + 7) Reorder the terms: 34 = -18 + -36p + -4(7 + p) 34 = -18 + -36p + (7 * -4 + p * -4) 34 = -18 + -36p + (-28 + -4p) Reorder the terms: 34 = -18 + -28 + -36p + -4p Combine like terms: -18 + -28 = -46 34 = -46 + -36p + -4p Combine like terms: -36p + -4p = -40p 34 = -46 + -40p Solving 34 = -46 + -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. 34 + 40p = -46 + -40p + 40p Combine like terms: -40p + 40p = 0 34 + 40p = -46 + 0 34 + 40p = -46 Add '-34' to each side of the equation. 34 + -34 + 40p = -46 + -34 Combine like terms: 34 + -34 = 0 0 + 40p = -46 + -34 40p = -46 + -34 Combine like terms: -46 + -34 = -80 40p = -80 Divide each side by '40'. p = -2 Simplifying p = -2
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