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Simplifying 0.5(p + 5) + -3 = 1.333(2p + -1) Reorder the terms: 0.5(5 + p) + -3 = 1.333(2p + -1) (5 * 0.5 + p * 0.5) + -3 = 1.333(2p + -1) (2.5 + 0.5p) + -3 = 1.333(2p + -1) Reorder the terms: 2.5 + -3 + 0.5p = 1.333(2p + -1) Combine like terms: 2.5 + -3 = -0.5 -0.5 + 0.5p = 1.333(2p + -1) Reorder the terms: -0.5 + 0.5p = 1.333(-1 + 2p) -0.5 + 0.5p = (-1 * 1.333 + 2p * 1.333) -0.5 + 0.5p = (-1.333 + 2.666p) Solving -0.5 + 0.5p = -1.333 + 2.666p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2.666p' to each side of the equation. -0.5 + 0.5p + -2.666p = -1.333 + 2.666p + -2.666p Combine like terms: 0.5p + -2.666p = -2.166p -0.5 + -2.166p = -1.333 + 2.666p + -2.666p Combine like terms: 2.666p + -2.666p = 0.000 -0.5 + -2.166p = -1.333 + 0.000 -0.5 + -2.166p = -1.333 Add '0.5' to each side of the equation. -0.5 + 0.5 + -2.166p = -1.333 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -2.166p = -1.333 + 0.5 -2.166p = -1.333 + 0.5 Combine like terms: -1.333 + 0.5 = -0.833 -2.166p = -0.833 Divide each side by '-2.166'. p = 0.3845798707 Simplifying p = 0.3845798707
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