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Simplifying -7(4p + 2) + -42 = 2(3p + 6) Reorder the terms: -7(2 + 4p) + -42 = 2(3p + 6) (2 * -7 + 4p * -7) + -42 = 2(3p + 6) (-14 + -28p) + -42 = 2(3p + 6) Reorder the terms: -14 + -42 + -28p = 2(3p + 6) Combine like terms: -14 + -42 = -56 -56 + -28p = 2(3p + 6) Reorder the terms: -56 + -28p = 2(6 + 3p) -56 + -28p = (6 * 2 + 3p * 2) -56 + -28p = (12 + 6p) Solving -56 + -28p = 12 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -56 + -28p + -6p = 12 + 6p + -6p Combine like terms: -28p + -6p = -34p -56 + -34p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 -56 + -34p = 12 + 0 -56 + -34p = 12 Add '56' to each side of the equation. -56 + 56 + -34p = 12 + 56 Combine like terms: -56 + 56 = 0 0 + -34p = 12 + 56 -34p = 12 + 56 Combine like terms: 12 + 56 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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