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Simplifying 6[p + -2(2p + 1) + -3] + 15 + 19p = 0 Reorder the terms: 6[p + -2(1 + 2p) + -3] + 15 + 19p = 0 6[p + (1 * -2 + 2p * -2) + -3] + 15 + 19p = 0 6[p + (-2 + -4p) + -3] + 15 + 19p = 0 Reorder the terms: 6[-2 + -3 + p + -4p] + 15 + 19p = 0 Combine like terms: -2 + -3 = -5 6[-5 + p + -4p] + 15 + 19p = 0 Combine like terms: p + -4p = -3p 6[-5 + -3p] + 15 + 19p = 0 [-5 * 6 + -3p * 6] + 15 + 19p = 0 [-30 + -18p] + 15 + 19p = 0 Reorder the terms: -30 + 15 + -18p + 19p = 0 Combine like terms: -30 + 15 = -15 -15 + -18p + 19p = 0 Combine like terms: -18p + 19p = 1p -15 + 1p = 0 Solving -15 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1p = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1p = 0 + 15 1p = 0 + 15 Combine like terms: 0 + 15 = 15 1p = 15 Divide each side by '1'. p = 15 Simplifying p = 15
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