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Simplifying -5p + -4(-7p + -11) = 16p + 9p + 6 Reorder the terms: -5p + -4(-11 + -7p) = 16p + 9p + 6 -5p + (-11 * -4 + -7p * -4) = 16p + 9p + 6 -5p + (44 + 28p) = 16p + 9p + 6 Reorder the terms: 44 + -5p + 28p = 16p + 9p + 6 Combine like terms: -5p + 28p = 23p 44 + 23p = 16p + 9p + 6 Reorder the terms: 44 + 23p = 6 + 16p + 9p Combine like terms: 16p + 9p = 25p 44 + 23p = 6 + 25p Solving 44 + 23p = 6 + 25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25p' to each side of the equation. 44 + 23p + -25p = 6 + 25p + -25p Combine like terms: 23p + -25p = -2p 44 + -2p = 6 + 25p + -25p Combine like terms: 25p + -25p = 0 44 + -2p = 6 + 0 44 + -2p = 6 Add '-44' to each side of the equation. 44 + -44 + -2p = 6 + -44 Combine like terms: 44 + -44 = 0 0 + -2p = 6 + -44 -2p = 6 + -44 Combine like terms: 6 + -44 = -38 -2p = -38 Divide each side by '-2'. p = 19 Simplifying p = 19
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