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Simplifying 2(x + -1p) = 3(6p + -1x) Reorder the terms: 2(-1p + x) = 3(6p + -1x) (-1p * 2 + x * 2) = 3(6p + -1x) (-2p + 2x) = 3(6p + -1x) -2p + 2x = (6p * 3 + -1x * 3) -2p + 2x = (18p + -3x) Solving -2p + 2x = 18p + -3x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-18p' to each side of the equation. -2p + -18p + 2x = 18p + -18p + -3x Combine like terms: -2p + -18p = -20p -20p + 2x = 18p + -18p + -3x Combine like terms: 18p + -18p = 0 -20p + 2x = 0 + -3x -20p + 2x = -3x Add '-2x' to each side of the equation. -20p + 2x + -2x = -3x + -2x Combine like terms: 2x + -2x = 0 -20p + 0 = -3x + -2x -20p = -3x + -2x Combine like terms: -3x + -2x = -5x -20p = -5x Divide each side by '-20'. p = 0.25x Simplifying p = 0.25x
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