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Simplifying 0.6(p + -12) = -1(2p + -1) + 7 Reorder the terms: 0.6(-12 + p) = -1(2p + -1) + 7 (-12 * 0.6 + p * 0.6) = -1(2p + -1) + 7 (-7.2 + 0.6p) = -1(2p + -1) + 7 Reorder the terms: -7.2 + 0.6p = -1(-1 + 2p) + 7 -7.2 + 0.6p = (-1 * -1 + 2p * -1) + 7 -7.2 + 0.6p = (1 + -2p) + 7 Reorder the terms: -7.2 + 0.6p = 1 + 7 + -2p Combine like terms: 1 + 7 = 8 -7.2 + 0.6p = 8 + -2p Solving -7.2 + 0.6p = 8 + -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. -7.2 + 0.6p + 2p = 8 + -2p + 2p Combine like terms: 0.6p + 2p = 2.6p -7.2 + 2.6p = 8 + -2p + 2p Combine like terms: -2p + 2p = 0 -7.2 + 2.6p = 8 + 0 -7.2 + 2.6p = 8 Add '7.2' to each side of the equation. -7.2 + 7.2 + 2.6p = 8 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + 2.6p = 8 + 7.2 2.6p = 8 + 7.2 Combine like terms: 8 + 7.2 = 15.2 2.6p = 15.2 Divide each side by '2.6'. p = 5.846153846 Simplifying p = 5.846153846
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