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Simplifying -6(p + 1) + -1p + -12 = 7(p + 5) + 17 Reorder the terms: -6(1 + p) + -1p + -12 = 7(p + 5) + 17 (1 * -6 + p * -6) + -1p + -12 = 7(p + 5) + 17 (-6 + -6p) + -1p + -12 = 7(p + 5) + 17 Reorder the terms: -6 + -12 + -6p + -1p = 7(p + 5) + 17 Combine like terms: -6 + -12 = -18 -18 + -6p + -1p = 7(p + 5) + 17 Combine like terms: -6p + -1p = -7p -18 + -7p = 7(p + 5) + 17 Reorder the terms: -18 + -7p = 7(5 + p) + 17 -18 + -7p = (5 * 7 + p * 7) + 17 -18 + -7p = (35 + 7p) + 17 Reorder the terms: -18 + -7p = 35 + 17 + 7p Combine like terms: 35 + 17 = 52 -18 + -7p = 52 + 7p Solving -18 + -7p = 52 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -18 + -7p + -7p = 52 + 7p + -7p Combine like terms: -7p + -7p = -14p -18 + -14p = 52 + 7p + -7p Combine like terms: 7p + -7p = 0 -18 + -14p = 52 + 0 -18 + -14p = 52 Add '18' to each side of the equation. -18 + 18 + -14p = 52 + 18 Combine like terms: -18 + 18 = 0 0 + -14p = 52 + 18 -14p = 52 + 18 Combine like terms: 52 + 18 = 70 -14p = 70 Divide each side by '-14'. p = -5 Simplifying p = -5
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