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Simplifying -6(3p + 3) + -18 = 5(4p + 8) Reorder the terms: -6(3 + 3p) + -18 = 5(4p + 8) (3 * -6 + 3p * -6) + -18 = 5(4p + 8) (-18 + -18p) + -18 = 5(4p + 8) Reorder the terms: -18 + -18 + -18p = 5(4p + 8) Combine like terms: -18 + -18 = -36 -36 + -18p = 5(4p + 8) Reorder the terms: -36 + -18p = 5(8 + 4p) -36 + -18p = (8 * 5 + 4p * 5) -36 + -18p = (40 + 20p) Solving -36 + -18p = 40 + 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. -36 + -18p + -20p = 40 + 20p + -20p Combine like terms: -18p + -20p = -38p -36 + -38p = 40 + 20p + -20p Combine like terms: 20p + -20p = 0 -36 + -38p = 40 + 0 -36 + -38p = 40 Add '36' to each side of the equation. -36 + 36 + -38p = 40 + 36 Combine like terms: -36 + 36 = 0 0 + -38p = 40 + 36 -38p = 40 + 36 Combine like terms: 40 + 36 = 76 -38p = 76 Divide each side by '-38'. p = -2 Simplifying p = -2
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