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Simplifying 3 + 2(p + -6) = 6p + 33 Reorder the terms: 3 + 2(-6 + p) = 6p + 33 3 + (-6 * 2 + p * 2) = 6p + 33 3 + (-12 + 2p) = 6p + 33 Combine like terms: 3 + -12 = -9 -9 + 2p = 6p + 33 Reorder the terms: -9 + 2p = 33 + 6p Solving -9 + 2p = 33 + 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. -9 + 2p + -6p = 33 + 6p + -6p Combine like terms: 2p + -6p = -4p -9 + -4p = 33 + 6p + -6p Combine like terms: 6p + -6p = 0 -9 + -4p = 33 + 0 -9 + -4p = 33 Add '9' to each side of the equation. -9 + 9 + -4p = 33 + 9 Combine like terms: -9 + 9 = 0 0 + -4p = 33 + 9 -4p = 33 + 9 Combine like terms: 33 + 9 = 42 -4p = 42 Divide each side by '-4'. p = -10.5 Simplifying p = -10.5
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