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Simplifying 2(p + -2) + -3p + 4 = 3(2p + -4) Reorder the terms: 2(-2 + p) + -3p + 4 = 3(2p + -4) (-2 * 2 + p * 2) + -3p + 4 = 3(2p + -4) (-4 + 2p) + -3p + 4 = 3(2p + -4) Reorder the terms: -4 + 4 + 2p + -3p = 3(2p + -4) Combine like terms: -4 + 4 = 0 0 + 2p + -3p = 3(2p + -4) 2p + -3p = 3(2p + -4) Combine like terms: 2p + -3p = -1p -1p = 3(2p + -4) Reorder the terms: -1p = 3(-4 + 2p) -1p = (-4 * 3 + 2p * 3) -1p = (-12 + 6p) Solving -1p = -12 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -1p + -6p = -12 + 6p + -6p Combine like terms: -1p + -6p = -7p -7p = -12 + 6p + -6p Combine like terms: 6p + -6p = 0 -7p = -12 + 0 -7p = -12 Divide each side by '-7'. p = 1.714285714 Simplifying p = 1.714285714
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