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Simplifying 6(3p + -2) + -1(5p + 1) = 0 Reorder the terms: 6(-2 + 3p) + -1(5p + 1) = 0 (-2 * 6 + 3p * 6) + -1(5p + 1) = 0 (-12 + 18p) + -1(5p + 1) = 0 Reorder the terms: -12 + 18p + -1(1 + 5p) = 0 -12 + 18p + (1 * -1 + 5p * -1) = 0 -12 + 18p + (-1 + -5p) = 0 Reorder the terms: -12 + -1 + 18p + -5p = 0 Combine like terms: -12 + -1 = -13 -13 + 18p + -5p = 0 Combine like terms: 18p + -5p = 13p -13 + 13p = 0 Solving -13 + 13p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 13p = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 13p = 0 + 13 13p = 0 + 13 Combine like terms: 0 + 13 = 13 13p = 13 Divide each side by '13'. p = 1 Simplifying p = 1
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