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Simplifying -7(3p + 3) + -45 = 3(5p + 2) Reorder the terms: -7(3 + 3p) + -45 = 3(5p + 2) (3 * -7 + 3p * -7) + -45 = 3(5p + 2) (-21 + -21p) + -45 = 3(5p + 2) Reorder the terms: -21 + -45 + -21p = 3(5p + 2) Combine like terms: -21 + -45 = -66 -66 + -21p = 3(5p + 2) Reorder the terms: -66 + -21p = 3(2 + 5p) -66 + -21p = (2 * 3 + 5p * 3) -66 + -21p = (6 + 15p) Solving -66 + -21p = 6 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -66 + -21p + -15p = 6 + 15p + -15p Combine like terms: -21p + -15p = -36p -66 + -36p = 6 + 15p + -15p Combine like terms: 15p + -15p = 0 -66 + -36p = 6 + 0 -66 + -36p = 6 Add '66' to each side of the equation. -66 + 66 + -36p = 6 + 66 Combine like terms: -66 + 66 = 0 0 + -36p = 6 + 66 -36p = 6 + 66 Combine like terms: 6 + 66 = 72 -36p = 72 Divide each side by '-36'. p = -2 Simplifying p = -2
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