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Simplifying -5(3p + 3) + -18 = 3(4p + 7) Reorder the terms: -5(3 + 3p) + -18 = 3(4p + 7) (3 * -5 + 3p * -5) + -18 = 3(4p + 7) (-15 + -15p) + -18 = 3(4p + 7) Reorder the terms: -15 + -18 + -15p = 3(4p + 7) Combine like terms: -15 + -18 = -33 -33 + -15p = 3(4p + 7) Reorder the terms: -33 + -15p = 3(7 + 4p) -33 + -15p = (7 * 3 + 4p * 3) -33 + -15p = (21 + 12p) Solving -33 + -15p = 21 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -33 + -15p + -12p = 21 + 12p + -12p Combine like terms: -15p + -12p = -27p -33 + -27p = 21 + 12p + -12p Combine like terms: 12p + -12p = 0 -33 + -27p = 21 + 0 -33 + -27p = 21 Add '33' to each side of the equation. -33 + 33 + -27p = 21 + 33 Combine like terms: -33 + 33 = 0 0 + -27p = 21 + 33 -27p = 21 + 33 Combine like terms: 21 + 33 = 54 -27p = 54 Divide each side by '-27'. p = -2 Simplifying p = -2
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