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Simplifying 2p + 4(3 + -1p) + -1.5(4 + 0.6p) = 23.4 2p + (3 * 4 + -1p * 4) + -1.5(4 + 0.6p) = 23.4 2p + (12 + -4p) + -1.5(4 + 0.6p) = 23.4 2p + 12 + -4p + (4 * -1.5 + 0.6p * -1.5) = 23.4 2p + 12 + -4p + (-6 + -0.9p) = 23.4 Reorder the terms: 12 + -6 + 2p + -4p + -0.9p = 23.4 Combine like terms: 12 + -6 = 6 6 + 2p + -4p + -0.9p = 23.4 Combine like terms: 2p + -4p = -2p 6 + -2p + -0.9p = 23.4 Combine like terms: -2p + -0.9p = -2.9p 6 + -2.9p = 23.4 Solving 6 + -2.9p = 23.4 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2.9p = 23.4 + -6 Combine like terms: 6 + -6 = 0 0 + -2.9p = 23.4 + -6 -2.9p = 23.4 + -6 Combine like terms: 23.4 + -6 = 17.4 -2.9p = 17.4 Divide each side by '-2.9'. p = -6 Simplifying p = -6
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