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Simplifying -6(2p + 2) + -46 = 2(3p + 7) Reorder the terms: -6(2 + 2p) + -46 = 2(3p + 7) (2 * -6 + 2p * -6) + -46 = 2(3p + 7) (-12 + -12p) + -46 = 2(3p + 7) Reorder the terms: -12 + -46 + -12p = 2(3p + 7) Combine like terms: -12 + -46 = -58 -58 + -12p = 2(3p + 7) Reorder the terms: -58 + -12p = 2(7 + 3p) -58 + -12p = (7 * 2 + 3p * 2) -58 + -12p = (14 + 6p) Solving -58 + -12p = 14 + 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. -58 + -12p + -6p = 14 + 6p + -6p Combine like terms: -12p + -6p = -18p -58 + -18p = 14 + 6p + -6p Combine like terms: 6p + -6p = 0 -58 + -18p = 14 + 0 -58 + -18p = 14 Add '58' to each side of the equation. -58 + 58 + -18p = 14 + 58 Combine like terms: -58 + 58 = 0 0 + -18p = 14 + 58 -18p = 14 + 58 Combine like terms: 14 + 58 = 72 -18p = 72 Divide each side by '-18'. p = -4 Simplifying p = -4
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