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Simplifying 6p + -38 = 7(4p + 4) Reorder the terms: -38 + 6p = 7(4p + 4) Reorder the terms: -38 + 6p = 7(4 + 4p) -38 + 6p = (4 * 7 + 4p * 7) -38 + 6p = (28 + 28p) Solving -38 + 6p = 28 + 28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-28p' to each side of the equation. -38 + 6p + -28p = 28 + 28p + -28p Combine like terms: 6p + -28p = -22p -38 + -22p = 28 + 28p + -28p Combine like terms: 28p + -28p = 0 -38 + -22p = 28 + 0 -38 + -22p = 28 Add '38' to each side of the equation. -38 + 38 + -22p = 28 + 38 Combine like terms: -38 + 38 = 0 0 + -22p = 28 + 38 -22p = 28 + 38 Combine like terms: 28 + 38 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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