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Simplifying 0.8(2p + -3) = 0.6(p + -4) Reorder the terms: 0.8(-3 + 2p) = 0.6(p + -4) (-3 * 0.8 + 2p * 0.8) = 0.6(p + -4) (-2.4 + 1.6p) = 0.6(p + -4) Reorder the terms: -2.4 + 1.6p = 0.6(-4 + p) -2.4 + 1.6p = (-4 * 0.6 + p * 0.6) -2.4 + 1.6p = (-2.4 + 0.6p) Add '2.4' to each side of the equation. -2.4 + 2.4 + 1.6p = -2.4 + 2.4 + 0.6p Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 1.6p = -2.4 + 2.4 + 0.6p 1.6p = -2.4 + 2.4 + 0.6p Combine like terms: -2.4 + 2.4 = 0.0 1.6p = 0.0 + 0.6p 1.6p = 0.6p Solving 1.6p = 0.6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.6p' to each side of the equation. 1.6p + -0.6p = 0.6p + -0.6p Combine like terms: 1.6p + -0.6p = 1p 1p = 0.6p + -0.6p Combine like terms: 0.6p + -0.6p = 0.0 1p = 0.0 Divide each side by '1'. p = 0.0 Simplifying p = 0.0
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