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Simplifying -6(5p + 2) + -42 = 2(2p + 7) Reorder the terms: -6(2 + 5p) + -42 = 2(2p + 7) (2 * -6 + 5p * -6) + -42 = 2(2p + 7) (-12 + -30p) + -42 = 2(2p + 7) Reorder the terms: -12 + -42 + -30p = 2(2p + 7) Combine like terms: -12 + -42 = -54 -54 + -30p = 2(2p + 7) Reorder the terms: -54 + -30p = 2(7 + 2p) -54 + -30p = (7 * 2 + 2p * 2) -54 + -30p = (14 + 4p) Solving -54 + -30p = 14 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -54 + -30p + -4p = 14 + 4p + -4p Combine like terms: -30p + -4p = -34p -54 + -34p = 14 + 4p + -4p Combine like terms: 4p + -4p = 0 -54 + -34p = 14 + 0 -54 + -34p = 14 Add '54' to each side of the equation. -54 + 54 + -34p = 14 + 54 Combine like terms: -54 + 54 = 0 0 + -34p = 14 + 54 -34p = 14 + 54 Combine like terms: 14 + 54 = 68 -34p = 68 Divide each side by '-34'. p = -2 Simplifying p = -2
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