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Simplifying 3(5p + 4) = 6(3p + -2) Reorder the terms: 3(4 + 5p) = 6(3p + -2) (4 * 3 + 5p * 3) = 6(3p + -2) (12 + 15p) = 6(3p + -2) Reorder the terms: 12 + 15p = 6(-2 + 3p) 12 + 15p = (-2 * 6 + 3p * 6) 12 + 15p = (-12 + 18p) Solving 12 + 15p = -12 + 18p 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. 12 + 15p + -18p = -12 + 18p + -18p Combine like terms: 15p + -18p = -3p 12 + -3p = -12 + 18p + -18p Combine like terms: 18p + -18p = 0 12 + -3p = -12 + 0 12 + -3p = -12 Add '-12' to each side of the equation. 12 + -12 + -3p = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -3p = -12 + -12 -3p = -12 + -12 Combine like terms: -12 + -12 = -24 -3p = -24 Divide each side by '-3'. p = 8 Simplifying p = 8
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