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Simplifying -4(4p + 4) + -38 = 3(3p + 7) Reorder the terms: -4(4 + 4p) + -38 = 3(3p + 7) (4 * -4 + 4p * -4) + -38 = 3(3p + 7) (-16 + -16p) + -38 = 3(3p + 7) Reorder the terms: -16 + -38 + -16p = 3(3p + 7) Combine like terms: -16 + -38 = -54 -54 + -16p = 3(3p + 7) Reorder the terms: -54 + -16p = 3(7 + 3p) -54 + -16p = (7 * 3 + 3p * 3) -54 + -16p = (21 + 9p) Solving -54 + -16p = 21 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -54 + -16p + -9p = 21 + 9p + -9p Combine like terms: -16p + -9p = -25p -54 + -25p = 21 + 9p + -9p Combine like terms: 9p + -9p = 0 -54 + -25p = 21 + 0 -54 + -25p = 21 Add '54' to each side of the equation. -54 + 54 + -25p = 21 + 54 Combine like terms: -54 + 54 = 0 0 + -25p = 21 + 54 -25p = 21 + 54 Combine like terms: 21 + 54 = 75 -25p = 75 Divide each side by '-25'. p = -3 Simplifying p = -3
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