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Simplifying 2(2p + -4) + 6 = -10 + 3p Reorder the terms: 2(-4 + 2p) + 6 = -10 + 3p (-4 * 2 + 2p * 2) + 6 = -10 + 3p (-8 + 4p) + 6 = -10 + 3p Reorder the terms: -8 + 6 + 4p = -10 + 3p Combine like terms: -8 + 6 = -2 -2 + 4p = -10 + 3p Solving -2 + 4p = -10 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -2 + 4p + -3p = -10 + 3p + -3p Combine like terms: 4p + -3p = 1p -2 + 1p = -10 + 3p + -3p Combine like terms: 3p + -3p = 0 -2 + 1p = -10 + 0 -2 + 1p = -10 Add '2' to each side of the equation. -2 + 2 + 1p = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 1p = -10 + 2 1p = -10 + 2 Combine like terms: -10 + 2 = -8 1p = -8 Divide each side by '1'. p = -8 Simplifying p = -8
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