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Simplifying 1.8 + -5.873(p + -4.2) = 2.9(0.4p + 1.7) Reorder the terms: 1.8 + -5.873(-4.2 + p) = 2.9(0.4p + 1.7) 1.8 + (-4.2 * -5.873 + p * -5.873) = 2.9(0.4p + 1.7) 1.8 + (24.6666 + -5.873p) = 2.9(0.4p + 1.7) Combine like terms: 1.8 + 24.6666 = 26.4666 26.4666 + -5.873p = 2.9(0.4p + 1.7) Reorder the terms: 26.4666 + -5.873p = 2.9(1.7 + 0.4p) 26.4666 + -5.873p = (1.7 * 2.9 + 0.4p * 2.9) 26.4666 + -5.873p = (4.93 + 1.16p) Solving 26.4666 + -5.873p = 4.93 + 1.16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.16p' to each side of the equation. 26.4666 + -5.873p + -1.16p = 4.93 + 1.16p + -1.16p Combine like terms: -5.873p + -1.16p = -7.033p 26.4666 + -7.033p = 4.93 + 1.16p + -1.16p Combine like terms: 1.16p + -1.16p = 0.00 26.4666 + -7.033p = 4.93 + 0.00 26.4666 + -7.033p = 4.93 Add '-26.4666' to each side of the equation. 26.4666 + -26.4666 + -7.033p = 4.93 + -26.4666 Combine like terms: 26.4666 + -26.4666 = 0.0000 0.0000 + -7.033p = 4.93 + -26.4666 -7.033p = 4.93 + -26.4666 Combine like terms: 4.93 + -26.4666 = -21.5366 -7.033p = -21.5366 Divide each side by '-7.033'. p = 3.062220958 Simplifying p = 3.062220958
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