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Simplifying -6(3p + 2) + -42 = 2(2p + 6) Reorder the terms: -6(2 + 3p) + -42 = 2(2p + 6) (2 * -6 + 3p * -6) + -42 = 2(2p + 6) (-12 + -18p) + -42 = 2(2p + 6) Reorder the terms: -12 + -42 + -18p = 2(2p + 6) Combine like terms: -12 + -42 = -54 -54 + -18p = 2(2p + 6) Reorder the terms: -54 + -18p = 2(6 + 2p) -54 + -18p = (6 * 2 + 2p * 2) -54 + -18p = (12 + 4p) Solving -54 + -18p = 12 + 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 + -18p + -4p = 12 + 4p + -4p Combine like terms: -18p + -4p = -22p -54 + -22p = 12 + 4p + -4p Combine like terms: 4p + -4p = 0 -54 + -22p = 12 + 0 -54 + -22p = 12 Add '54' to each side of the equation. -54 + 54 + -22p = 12 + 54 Combine like terms: -54 + 54 = 0 0 + -22p = 12 + 54 -22p = 12 + 54 Combine like terms: 12 + 54 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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