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Simplifying -7(4p + 4) + -30 = 2(3p + 5) Reorder the terms: -7(4 + 4p) + -30 = 2(3p + 5) (4 * -7 + 4p * -7) + -30 = 2(3p + 5) (-28 + -28p) + -30 = 2(3p + 5) Reorder the terms: -28 + -30 + -28p = 2(3p + 5) Combine like terms: -28 + -30 = -58 -58 + -28p = 2(3p + 5) Reorder the terms: -58 + -28p = 2(5 + 3p) -58 + -28p = (5 * 2 + 3p * 2) -58 + -28p = (10 + 6p) Solving -58 + -28p = 10 + 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. -58 + -28p + -6p = 10 + 6p + -6p Combine like terms: -28p + -6p = -34p -58 + -34p = 10 + 6p + -6p Combine like terms: 6p + -6p = 0 -58 + -34p = 10 + 0 -58 + -34p = 10 Add '58' to each side of the equation. -58 + 58 + -34p = 10 + 58 Combine like terms: -58 + 58 = 0 0 + -34p = 10 + 58 -34p = 10 + 58 Combine like terms: 10 + 58 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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