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Simplifying 6p + -4 = -6(5p + -4) + -4(3 + -8p) Reorder the terms: -4 + 6p = -6(5p + -4) + -4(3 + -8p) Reorder the terms: -4 + 6p = -6(-4 + 5p) + -4(3 + -8p) -4 + 6p = (-4 * -6 + 5p * -6) + -4(3 + -8p) -4 + 6p = (24 + -30p) + -4(3 + -8p) -4 + 6p = 24 + -30p + (3 * -4 + -8p * -4) -4 + 6p = 24 + -30p + (-12 + 32p) Reorder the terms: -4 + 6p = 24 + -12 + -30p + 32p Combine like terms: 24 + -12 = 12 -4 + 6p = 12 + -30p + 32p Combine like terms: -30p + 32p = 2p -4 + 6p = 12 + 2p Solving -4 + 6p = 12 + 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. -4 + 6p + -2p = 12 + 2p + -2p Combine like terms: 6p + -2p = 4p -4 + 4p = 12 + 2p + -2p Combine like terms: 2p + -2p = 0 -4 + 4p = 12 + 0 -4 + 4p = 12 Add '4' to each side of the equation. -4 + 4 + 4p = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4p = 12 + 4 4p = 12 + 4 Combine like terms: 12 + 4 = 16 4p = 16 Divide each side by '4'. p = 4 Simplifying p = 4
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