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Simplifying 3.4p + -6 = -8 + 2(p + -5) Reorder the terms: -6 + 3.4p = -8 + 2(p + -5) Reorder the terms: -6 + 3.4p = -8 + 2(-5 + p) -6 + 3.4p = -8 + (-5 * 2 + p * 2) -6 + 3.4p = -8 + (-10 + 2p) Combine like terms: -8 + -10 = -18 -6 + 3.4p = -18 + 2p Solving -6 + 3.4p = -18 + 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. -6 + 3.4p + -2p = -18 + 2p + -2p Combine like terms: 3.4p + -2p = 1.4p -6 + 1.4p = -18 + 2p + -2p Combine like terms: 2p + -2p = 0 -6 + 1.4p = -18 + 0 -6 + 1.4p = -18 Add '6' to each side of the equation. -6 + 6 + 1.4p = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 1.4p = -18 + 6 1.4p = -18 + 6 Combine like terms: -18 + 6 = -12 1.4p = -12 Divide each side by '1.4'. p = -8.571428571 Simplifying p = -8.571428571
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