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Simplifying -1p + -2 = 4(p + -2) + -6(-4 + p) Reorder the terms: -2 + -1p = 4(p + -2) + -6(-4 + p) Reorder the terms: -2 + -1p = 4(-2 + p) + -6(-4 + p) -2 + -1p = (-2 * 4 + p * 4) + -6(-4 + p) -2 + -1p = (-8 + 4p) + -6(-4 + p) -2 + -1p = -8 + 4p + (-4 * -6 + p * -6) -2 + -1p = -8 + 4p + (24 + -6p) Reorder the terms: -2 + -1p = -8 + 24 + 4p + -6p Combine like terms: -8 + 24 = 16 -2 + -1p = 16 + 4p + -6p Combine like terms: 4p + -6p = -2p -2 + -1p = 16 + -2p Solving -2 + -1p = 16 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -2 + -1p + 2p = 16 + -2p + 2p Combine like terms: -1p + 2p = 1p -2 + 1p = 16 + -2p + 2p Combine like terms: -2p + 2p = 0 -2 + 1p = 16 + 0 -2 + 1p = 16 Add '2' to each side of the equation. -2 + 2 + 1p = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 1p = 16 + 2 1p = 16 + 2 Combine like terms: 16 + 2 = 18 1p = 18 Divide each side by '1'. p = 18 Simplifying p = 18
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