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Simplifying -1(5p + -6) = -3(6p + 4) + -5p Reorder the terms: -1(-6 + 5p) = -3(6p + 4) + -5p (-6 * -1 + 5p * -1) = -3(6p + 4) + -5p (6 + -5p) = -3(6p + 4) + -5p Reorder the terms: 6 + -5p = -3(4 + 6p) + -5p 6 + -5p = (4 * -3 + 6p * -3) + -5p 6 + -5p = (-12 + -18p) + -5p Combine like terms: -18p + -5p = -23p 6 + -5p = -12 + -23p Solving 6 + -5p = -12 + -23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '23p' to each side of the equation. 6 + -5p + 23p = -12 + -23p + 23p Combine like terms: -5p + 23p = 18p 6 + 18p = -12 + -23p + 23p Combine like terms: -23p + 23p = 0 6 + 18p = -12 + 0 6 + 18p = -12 Add '-6' to each side of the equation. 6 + -6 + 18p = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 18p = -12 + -6 18p = -12 + -6 Combine like terms: -12 + -6 = -18 18p = -18 Divide each side by '18'. p = -1 Simplifying p = -1
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