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Simplifying 6(2p + -5) + -4(p + -2) = 14 Reorder the terms: 6(-5 + 2p) + -4(p + -2) = 14 (-5 * 6 + 2p * 6) + -4(p + -2) = 14 (-30 + 12p) + -4(p + -2) = 14 Reorder the terms: -30 + 12p + -4(-2 + p) = 14 -30 + 12p + (-2 * -4 + p * -4) = 14 -30 + 12p + (8 + -4p) = 14 Reorder the terms: -30 + 8 + 12p + -4p = 14 Combine like terms: -30 + 8 = -22 -22 + 12p + -4p = 14 Combine like terms: 12p + -4p = 8p -22 + 8p = 14 Solving -22 + 8p = 14 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 8p = 14 + 22 Combine like terms: -22 + 22 = 0 0 + 8p = 14 + 22 8p = 14 + 22 Combine like terms: 14 + 22 = 36 8p = 36 Divide each side by '8'. p = 4.5 Simplifying p = 4.5
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