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Simplifying -5p + -9 = 3(2p + -3) + -6(-8 + 2p) Reorder the terms: -9 + -5p = 3(2p + -3) + -6(-8 + 2p) Reorder the terms: -9 + -5p = 3(-3 + 2p) + -6(-8 + 2p) -9 + -5p = (-3 * 3 + 2p * 3) + -6(-8 + 2p) -9 + -5p = (-9 + 6p) + -6(-8 + 2p) -9 + -5p = -9 + 6p + (-8 * -6 + 2p * -6) -9 + -5p = -9 + 6p + (48 + -12p) Reorder the terms: -9 + -5p = -9 + 48 + 6p + -12p Combine like terms: -9 + 48 = 39 -9 + -5p = 39 + 6p + -12p Combine like terms: 6p + -12p = -6p -9 + -5p = 39 + -6p Solving -9 + -5p = 39 + -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. -9 + -5p + 6p = 39 + -6p + 6p Combine like terms: -5p + 6p = 1p -9 + 1p = 39 + -6p + 6p Combine like terms: -6p + 6p = 0 -9 + 1p = 39 + 0 -9 + 1p = 39 Add '9' to each side of the equation. -9 + 9 + 1p = 39 + 9 Combine like terms: -9 + 9 = 0 0 + 1p = 39 + 9 1p = 39 + 9 Combine like terms: 39 + 9 = 48 1p = 48 Divide each side by '1'. p = 48 Simplifying p = 48
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