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Simplifying 6(p + -7) + -5p + 15 + (3p + 2) = 0 Reorder the terms: 6(-7 + p) + -5p + 15 + (3p + 2) = 0 (-7 * 6 + p * 6) + -5p + 15 + (3p + 2) = 0 (-42 + 6p) + -5p + 15 + (3p + 2) = 0 Reorder the terms: -42 + 6p + -5p + 15 + (2 + 3p) = 0 Remove parenthesis around (2 + 3p) -42 + 6p + -5p + 15 + 2 + 3p = 0 Reorder the terms: -42 + 15 + 2 + 6p + -5p + 3p = 0 Combine like terms: -42 + 15 = -27 -27 + 2 + 6p + -5p + 3p = 0 Combine like terms: -27 + 2 = -25 -25 + 6p + -5p + 3p = 0 Combine like terms: 6p + -5p = 1p -25 + 1p + 3p = 0 Combine like terms: 1p + 3p = 4p -25 + 4p = 0 Solving -25 + 4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 4p = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4p = 0 + 25 4p = 0 + 25 Combine like terms: 0 + 25 = 25 4p = 25 Divide each side by '4'. p = 6.25 Simplifying p = 6.25
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