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Simplifying -6(19p + 19) = -6p + -6(17p + 17) Reorder the terms: -6(19 + 19p) = -6p + -6(17p + 17) (19 * -6 + 19p * -6) = -6p + -6(17p + 17) (-114 + -114p) = -6p + -6(17p + 17) Reorder the terms: -114 + -114p = -6p + -6(17 + 17p) -114 + -114p = -6p + (17 * -6 + 17p * -6) -114 + -114p = -6p + (-102 + -102p) Reorder the terms: -114 + -114p = -102 + -6p + -102p Combine like terms: -6p + -102p = -108p -114 + -114p = -102 + -108p Solving -114 + -114p = -102 + -108p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '108p' to each side of the equation. -114 + -114p + 108p = -102 + -108p + 108p Combine like terms: -114p + 108p = -6p -114 + -6p = -102 + -108p + 108p Combine like terms: -108p + 108p = 0 -114 + -6p = -102 + 0 -114 + -6p = -102 Add '114' to each side of the equation. -114 + 114 + -6p = -102 + 114 Combine like terms: -114 + 114 = 0 0 + -6p = -102 + 114 -6p = -102 + 114 Combine like terms: -102 + 114 = 12 -6p = 12 Divide each side by '-6'. p = -2 Simplifying p = -2
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