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Simplifying 6(p + -7) + -5p + 15 + (3p + 2) * 4 = 0 Reorder the terms: 6(-7 + p) + -5p + 15 + (3p + 2) * 4 = 0 (-7 * 6 + p * 6) + -5p + 15 + (3p + 2) * 4 = 0 (-42 + 6p) + -5p + 15 + (3p + 2) * 4 = 0 Reorder the terms: -42 + 6p + -5p + 15 + (2 + 3p) * 4 = 0 Reorder the terms for easier multiplication: -42 + 6p + -5p + 15 + 4(2 + 3p) = 0 -42 + 6p + -5p + 15 + (2 * 4 + 3p * 4) = 0 -42 + 6p + -5p + 15 + (8 + 12p) = 0 Reorder the terms: -42 + 15 + 8 + 6p + -5p + 12p = 0 Combine like terms: -42 + 15 = -27 -27 + 8 + 6p + -5p + 12p = 0 Combine like terms: -27 + 8 = -19 -19 + 6p + -5p + 12p = 0 Combine like terms: 6p + -5p = 1p -19 + 1p + 12p = 0 Combine like terms: 1p + 12p = 13p -19 + 13p = 0 Solving -19 + 13p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 13p = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 13p = 0 + 19 13p = 0 + 19 Combine like terms: 0 + 19 = 19 13p = 19 Divide each side by '13'. p = 1.461538462 Simplifying p = 1.461538462
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