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Simplifying 7(p + -3) = 3(p + -5) Reorder the terms: 7(-3 + p) = 3(p + -5) (-3 * 7 + p * 7) = 3(p + -5) (-21 + 7p) = 3(p + -5) Reorder the terms: -21 + 7p = 3(-5 + p) -21 + 7p = (-5 * 3 + p * 3) -21 + 7p = (-15 + 3p) Solving -21 + 7p = -15 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -21 + 7p + -3p = -15 + 3p + -3p Combine like terms: 7p + -3p = 4p -21 + 4p = -15 + 3p + -3p Combine like terms: 3p + -3p = 0 -21 + 4p = -15 + 0 -21 + 4p = -15 Add '21' to each side of the equation. -21 + 21 + 4p = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 4p = -15 + 21 4p = -15 + 21 Combine like terms: -15 + 21 = 6 4p = 6 Divide each side by '4'. p = 1.5 Simplifying p = 1.5
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