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Simplifying 6(p + -1.5) = 5(2p + 1.8) Reorder the terms: 6(-1.5 + p) = 5(2p + 1.8) (-1.5 * 6 + p * 6) = 5(2p + 1.8) (-9 + 6p) = 5(2p + 1.8) Reorder the terms: -9 + 6p = 5(1.8 + 2p) -9 + 6p = (1.8 * 5 + 2p * 5) -9 + 6p = (9 + 10p) Solving -9 + 6p = 9 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -9 + 6p + -10p = 9 + 10p + -10p Combine like terms: 6p + -10p = -4p -9 + -4p = 9 + 10p + -10p Combine like terms: 10p + -10p = 0 -9 + -4p = 9 + 0 -9 + -4p = 9 Add '9' to each side of the equation. -9 + 9 + -4p = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -4p = 9 + 9 -4p = 9 + 9 Combine like terms: 9 + 9 = 18 -4p = 18 Divide each side by '-4'. p = -4.5 Simplifying p = -4.5
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