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Simplifying 5(p + 2) + 4(p + -3) = 30 + -7p Reorder the terms: 5(2 + p) + 4(p + -3) = 30 + -7p (2 * 5 + p * 5) + 4(p + -3) = 30 + -7p (10 + 5p) + 4(p + -3) = 30 + -7p Reorder the terms: 10 + 5p + 4(-3 + p) = 30 + -7p 10 + 5p + (-3 * 4 + p * 4) = 30 + -7p 10 + 5p + (-12 + 4p) = 30 + -7p Reorder the terms: 10 + -12 + 5p + 4p = 30 + -7p Combine like terms: 10 + -12 = -2 -2 + 5p + 4p = 30 + -7p Combine like terms: 5p + 4p = 9p -2 + 9p = 30 + -7p Solving -2 + 9p = 30 + -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. -2 + 9p + 7p = 30 + -7p + 7p Combine like terms: 9p + 7p = 16p -2 + 16p = 30 + -7p + 7p Combine like terms: -7p + 7p = 0 -2 + 16p = 30 + 0 -2 + 16p = 30 Add '2' to each side of the equation. -2 + 2 + 16p = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 16p = 30 + 2 16p = 30 + 2 Combine like terms: 30 + 2 = 32 16p = 32 Divide each side by '16'. p = 2 Simplifying p = 2
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