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Simplifying 5.8(3p + -6) = 8.5(0.3p + 2) Reorder the terms: 5.8(-6 + 3p) = 8.5(0.3p + 2) (-6 * 5.8 + 3p * 5.8) = 8.5(0.3p + 2) (-34.8 + 17.4p) = 8.5(0.3p + 2) Reorder the terms: -34.8 + 17.4p = 8.5(2 + 0.3p) -34.8 + 17.4p = (2 * 8.5 + 0.3p * 8.5) -34.8 + 17.4p = (17 + 2.55p) Solving -34.8 + 17.4p = 17 + 2.55p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2.55p' to each side of the equation. -34.8 + 17.4p + -2.55p = 17 + 2.55p + -2.55p Combine like terms: 17.4p + -2.55p = 14.85p -34.8 + 14.85p = 17 + 2.55p + -2.55p Combine like terms: 2.55p + -2.55p = 0.00 -34.8 + 14.85p = 17 + 0.00 -34.8 + 14.85p = 17 Add '34.8' to each side of the equation. -34.8 + 34.8 + 14.85p = 17 + 34.8 Combine like terms: -34.8 + 34.8 = 0.0 0.0 + 14.85p = 17 + 34.8 14.85p = 17 + 34.8 Combine like terms: 17 + 34.8 = 51.8 14.85p = 51.8 Divide each side by '14.85'. p = 3.488215488 Simplifying p = 3.488215488
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