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Simplifying -7(3p + 3) + -45 = 3(2p + 5) Reorder the terms: -7(3 + 3p) + -45 = 3(2p + 5) (3 * -7 + 3p * -7) + -45 = 3(2p + 5) (-21 + -21p) + -45 = 3(2p + 5) Reorder the terms: -21 + -45 + -21p = 3(2p + 5) Combine like terms: -21 + -45 = -66 -66 + -21p = 3(2p + 5) Reorder the terms: -66 + -21p = 3(5 + 2p) -66 + -21p = (5 * 3 + 2p * 3) -66 + -21p = (15 + 6p) Solving -66 + -21p = 15 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -66 + -21p + -6p = 15 + 6p + -6p Combine like terms: -21p + -6p = -27p -66 + -27p = 15 + 6p + -6p Combine like terms: 6p + -6p = 0 -66 + -27p = 15 + 0 -66 + -27p = 15 Add '66' to each side of the equation. -66 + 66 + -27p = 15 + 66 Combine like terms: -66 + 66 = 0 0 + -27p = 15 + 66 -27p = 15 + 66 Combine like terms: 15 + 66 = 81 -27p = 81 Divide each side by '-27'. p = -3 Simplifying p = -3
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