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Simplifying -37 + 3p = 7(p + -7) + -8 Reorder the terms: -37 + 3p = 7(-7 + p) + -8 -37 + 3p = (-7 * 7 + p * 7) + -8 -37 + 3p = (-49 + 7p) + -8 Reorder the terms: -37 + 3p = -49 + -8 + 7p Combine like terms: -49 + -8 = -57 -37 + 3p = -57 + 7p Solving -37 + 3p = -57 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -37 + 3p + -7p = -57 + 7p + -7p Combine like terms: 3p + -7p = -4p -37 + -4p = -57 + 7p + -7p Combine like terms: 7p + -7p = 0 -37 + -4p = -57 + 0 -37 + -4p = -57 Add '37' to each side of the equation. -37 + 37 + -4p = -57 + 37 Combine like terms: -37 + 37 = 0 0 + -4p = -57 + 37 -4p = -57 + 37 Combine like terms: -57 + 37 = -20 -4p = -20 Divide each side by '-4'. p = 5 Simplifying p = 5
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