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Simplifying -7p + -3(6 + -6p) = 6(p + -4) + -4 -7p + (6 * -3 + -6p * -3) = 6(p + -4) + -4 -7p + (-18 + 18p) = 6(p + -4) + -4 Reorder the terms: -18 + -7p + 18p = 6(p + -4) + -4 Combine like terms: -7p + 18p = 11p -18 + 11p = 6(p + -4) + -4 Reorder the terms: -18 + 11p = 6(-4 + p) + -4 -18 + 11p = (-4 * 6 + p * 6) + -4 -18 + 11p = (-24 + 6p) + -4 Reorder the terms: -18 + 11p = -24 + -4 + 6p Combine like terms: -24 + -4 = -28 -18 + 11p = -28 + 6p Solving -18 + 11p = -28 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -18 + 11p + -6p = -28 + 6p + -6p Combine like terms: 11p + -6p = 5p -18 + 5p = -28 + 6p + -6p Combine like terms: 6p + -6p = 0 -18 + 5p = -28 + 0 -18 + 5p = -28 Add '18' to each side of the equation. -18 + 18 + 5p = -28 + 18 Combine like terms: -18 + 18 = 0 0 + 5p = -28 + 18 5p = -28 + 18 Combine like terms: -28 + 18 = -10 5p = -10 Divide each side by '5'. p = -2 Simplifying p = -2
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