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Simplifying -6p + -4(4 + -3p) = 4(p + -4) + -10 -6p + (4 * -4 + -3p * -4) = 4(p + -4) + -10 -6p + (-16 + 12p) = 4(p + -4) + -10 Reorder the terms: -16 + -6p + 12p = 4(p + -4) + -10 Combine like terms: -6p + 12p = 6p -16 + 6p = 4(p + -4) + -10 Reorder the terms: -16 + 6p = 4(-4 + p) + -10 -16 + 6p = (-4 * 4 + p * 4) + -10 -16 + 6p = (-16 + 4p) + -10 Reorder the terms: -16 + 6p = -16 + -10 + 4p Combine like terms: -16 + -10 = -26 -16 + 6p = -26 + 4p Solving -16 + 6p = -26 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -16 + 6p + -4p = -26 + 4p + -4p Combine like terms: 6p + -4p = 2p -16 + 2p = -26 + 4p + -4p Combine like terms: 4p + -4p = 0 -16 + 2p = -26 + 0 -16 + 2p = -26 Add '16' to each side of the equation. -16 + 16 + 2p = -26 + 16 Combine like terms: -16 + 16 = 0 0 + 2p = -26 + 16 2p = -26 + 16 Combine like terms: -26 + 16 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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