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Simplifying -7(4p + 4) + -34 = 2(3p + 3) Reorder the terms: -7(4 + 4p) + -34 = 2(3p + 3) (4 * -7 + 4p * -7) + -34 = 2(3p + 3) (-28 + -28p) + -34 = 2(3p + 3) Reorder the terms: -28 + -34 + -28p = 2(3p + 3) Combine like terms: -28 + -34 = -62 -62 + -28p = 2(3p + 3) Reorder the terms: -62 + -28p = 2(3 + 3p) -62 + -28p = (3 * 2 + 3p * 2) -62 + -28p = (6 + 6p) Solving -62 + -28p = 6 + 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. -62 + -28p + -6p = 6 + 6p + -6p Combine like terms: -28p + -6p = -34p -62 + -34p = 6 + 6p + -6p Combine like terms: 6p + -6p = 0 -62 + -34p = 6 + 0 -62 + -34p = 6 Add '62' to each side of the equation. -62 + 62 + -34p = 6 + 62 Combine like terms: -62 + 62 = 0 0 + -34p = 6 + 62 -34p = 6 + 62 Combine like terms: 6 + 62 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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