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Simplifying 6p + -12(2p + 1) + -18 + 19p = -15 Reorder the terms: 6p + -12(1 + 2p) + -18 + 19p = -15 6p + (1 * -12 + 2p * -12) + -18 + 19p = -15 6p + (-12 + -24p) + -18 + 19p = -15 Reorder the terms: -12 + -18 + 6p + -24p + 19p = -15 Combine like terms: -12 + -18 = -30 -30 + 6p + -24p + 19p = -15 Combine like terms: 6p + -24p = -18p -30 + -18p + 19p = -15 Combine like terms: -18p + 19p = 1p -30 + 1p = -15 Solving -30 + 1p = -15 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1p = -15 + 30 Combine like terms: -30 + 30 = 0 0 + 1p = -15 + 30 1p = -15 + 30 Combine like terms: -15 + 30 = 15 1p = 15 Divide each side by '1'. p = 15 Simplifying p = 15
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