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Simplifying 3(6p + -2) + 4(1 + -5p) = p Reorder the terms: 3(-2 + 6p) + 4(1 + -5p) = p (-2 * 3 + 6p * 3) + 4(1 + -5p) = p (-6 + 18p) + 4(1 + -5p) = p -6 + 18p + (1 * 4 + -5p * 4) = p -6 + 18p + (4 + -20p) = p Reorder the terms: -6 + 4 + 18p + -20p = p Combine like terms: -6 + 4 = -2 -2 + 18p + -20p = p Combine like terms: 18p + -20p = -2p -2 + -2p = p Solving -2 + -2p = p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -2 + -2p + -1p = p + -1p Combine like terms: -2p + -1p = -3p -2 + -3p = p + -1p Combine like terms: p + -1p = 0 -2 + -3p = 0 Add '2' to each side of the equation. -2 + 2 + -3p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3p = 0 + 2 -3p = 0 + 2 Combine like terms: 0 + 2 = 2 -3p = 2 Divide each side by '-3'. p = -0.6666666667 Simplifying p = -0.6666666667
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