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Simplifying -7(4p + 2) + -44 = 2(3p + 2) Reorder the terms: -7(2 + 4p) + -44 = 2(3p + 2) (2 * -7 + 4p * -7) + -44 = 2(3p + 2) (-14 + -28p) + -44 = 2(3p + 2) Reorder the terms: -14 + -44 + -28p = 2(3p + 2) Combine like terms: -14 + -44 = -58 -58 + -28p = 2(3p + 2) Reorder the terms: -58 + -28p = 2(2 + 3p) -58 + -28p = (2 * 2 + 3p * 2) -58 + -28p = (4 + 6p) Solving -58 + -28p = 4 + 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 = 4 + 6p + -6p Combine like terms: -28p + -6p = -34p -58 + -34p = 4 + 6p + -6p Combine like terms: 6p + -6p = 0 -58 + -34p = 4 + 0 -58 + -34p = 4 Add '58' to each side of the equation. -58 + 58 + -34p = 4 + 58 Combine like terms: -58 + 58 = 0 0 + -34p = 4 + 58 -34p = 4 + 58 Combine like terms: 4 + 58 = 62 -34p = 62 Divide each side by '-34'. p = -1.823529412 Simplifying p = -1.823529412
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