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Simplifying 4(p + -6) + -1(8p + -3) = 0 Reorder the terms: 4(-6 + p) + -1(8p + -3) = 0 (-6 * 4 + p * 4) + -1(8p + -3) = 0 (-24 + 4p) + -1(8p + -3) = 0 Reorder the terms: -24 + 4p + -1(-3 + 8p) = 0 -24 + 4p + (-3 * -1 + 8p * -1) = 0 -24 + 4p + (3 + -8p) = 0 Reorder the terms: -24 + 3 + 4p + -8p = 0 Combine like terms: -24 + 3 = -21 -21 + 4p + -8p = 0 Combine like terms: 4p + -8p = -4p -21 + -4p = 0 Solving -21 + -4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -4p = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -4p = 0 + 21 -4p = 0 + 21 Combine like terms: 0 + 21 = 21 -4p = 21 Divide each side by '-4'. p = -5.25 Simplifying p = -5.25
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