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Simplifying -6(3p + 4) + -20 = 4(5p + 8) Reorder the terms: -6(4 + 3p) + -20 = 4(5p + 8) (4 * -6 + 3p * -6) + -20 = 4(5p + 8) (-24 + -18p) + -20 = 4(5p + 8) Reorder the terms: -24 + -20 + -18p = 4(5p + 8) Combine like terms: -24 + -20 = -44 -44 + -18p = 4(5p + 8) Reorder the terms: -44 + -18p = 4(8 + 5p) -44 + -18p = (8 * 4 + 5p * 4) -44 + -18p = (32 + 20p) Solving -44 + -18p = 32 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -44 + -18p + -20p = 32 + 20p + -20p Combine like terms: -18p + -20p = -38p -44 + -38p = 32 + 20p + -20p Combine like terms: 20p + -20p = 0 -44 + -38p = 32 + 0 -44 + -38p = 32 Add '44' to each side of the equation. -44 + 44 + -38p = 32 + 44 Combine like terms: -44 + 44 = 0 0 + -38p = 32 + 44 -38p = 32 + 44 Combine like terms: 32 + 44 = 76 -38p = 76 Divide each side by '-38'. p = -2 Simplifying p = -2
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