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Simplifying 5(5p + -9) + -16 = 18p + -2p + -7 Reorder the terms: 5(-9 + 5p) + -16 = 18p + -2p + -7 (-9 * 5 + 5p * 5) + -16 = 18p + -2p + -7 (-45 + 25p) + -16 = 18p + -2p + -7 Reorder the terms: -45 + -16 + 25p = 18p + -2p + -7 Combine like terms: -45 + -16 = -61 -61 + 25p = 18p + -2p + -7 Reorder the terms: -61 + 25p = -7 + 18p + -2p Combine like terms: 18p + -2p = 16p -61 + 25p = -7 + 16p Solving -61 + 25p = -7 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -61 + 25p + -16p = -7 + 16p + -16p Combine like terms: 25p + -16p = 9p -61 + 9p = -7 + 16p + -16p Combine like terms: 16p + -16p = 0 -61 + 9p = -7 + 0 -61 + 9p = -7 Add '61' to each side of the equation. -61 + 61 + 9p = -7 + 61 Combine like terms: -61 + 61 = 0 0 + 9p = -7 + 61 9p = -7 + 61 Combine like terms: -7 + 61 = 54 9p = 54 Divide each side by '9'. p = 6 Simplifying p = 6
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