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Simplifying 2(2.6p + -3.4) + -5.2p = 7.1 + -1(p + 12.3) Reorder the terms: 2(-3.4 + 2.6p) + -5.2p = 7.1 + -1(p + 12.3) (-3.4 * 2 + 2.6p * 2) + -5.2p = 7.1 + -1(p + 12.3) (-6.8 + 5.2p) + -5.2p = 7.1 + -1(p + 12.3) Combine like terms: 5.2p + -5.2p = 0.0 -6.8 + 0.0 = 7.1 + -1(p + 12.3) -6.8 = 7.1 + -1(p + 12.3) Reorder the terms: -6.8 = 7.1 + -1(12.3 + p) -6.8 = 7.1 + (12.3 * -1 + p * -1) -6.8 = 7.1 + (-12.3 + -1p) Combine like terms: 7.1 + -12.3 = -5.2 -6.8 = -5.2 + -1p Solving -6.8 = -5.2 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -6.8 + p = -5.2 + -1p + p Combine like terms: -1p + p = 0 -6.8 + p = -5.2 + 0 -6.8 + p = -5.2 Add '6.8' to each side of the equation. -6.8 + 6.8 + p = -5.2 + 6.8 Combine like terms: -6.8 + 6.8 = 0.0 0.0 + p = -5.2 + 6.8 p = -5.2 + 6.8 Combine like terms: -5.2 + 6.8 = 1.6 p = 1.6 Simplifying p = 1.6
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