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Simplifying -6(2p + 2) + -4 = 4(3p + 8) Reorder the terms: -6(2 + 2p) + -4 = 4(3p + 8) (2 * -6 + 2p * -6) + -4 = 4(3p + 8) (-12 + -12p) + -4 = 4(3p + 8) Reorder the terms: -12 + -4 + -12p = 4(3p + 8) Combine like terms: -12 + -4 = -16 -16 + -12p = 4(3p + 8) Reorder the terms: -16 + -12p = 4(8 + 3p) -16 + -12p = (8 * 4 + 3p * 4) -16 + -12p = (32 + 12p) Solving -16 + -12p = 32 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -16 + -12p + -12p = 32 + 12p + -12p Combine like terms: -12p + -12p = -24p -16 + -24p = 32 + 12p + -12p Combine like terms: 12p + -12p = 0 -16 + -24p = 32 + 0 -16 + -24p = 32 Add '16' to each side of the equation. -16 + 16 + -24p = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -24p = 32 + 16 -24p = 32 + 16 Combine like terms: 32 + 16 = 48 -24p = 48 Divide each side by '-24'. p = -2 Simplifying p = -2
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