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Simplifying 6 + -1(2p + 5) = 6[(2p + -5) + -1(p + -3)] Reorder the terms: 6 + -1(5 + 2p) = 6[(2p + -5) + -1(p + -3)] 6 + (5 * -1 + 2p * -1) = 6[(2p + -5) + -1(p + -3)] 6 + (-5 + -2p) = 6[(2p + -5) + -1(p + -3)] Combine like terms: 6 + -5 = 1 1 + -2p = 6[(2p + -5) + -1(p + -3)] Reorder the terms: 1 + -2p = 6[(-5 + 2p) + -1(p + -3)] Remove parenthesis around (-5 + 2p) 1 + -2p = 6[-5 + 2p + -1(p + -3)] Reorder the terms: 1 + -2p = 6[-5 + 2p + -1(-3 + p)] 1 + -2p = 6[-5 + 2p + (-3 * -1 + p * -1)] 1 + -2p = 6[-5 + 2p + (3 + -1p)] Reorder the terms: 1 + -2p = 6[-5 + 3 + 2p + -1p] Combine like terms: -5 + 3 = -2 1 + -2p = 6[-2 + 2p + -1p] Combine like terms: 2p + -1p = 1p 1 + -2p = 6[-2 + 1p] 1 + -2p = [-2 * 6 + 1p * 6] 1 + -2p = [-12 + 6p] Solving 1 + -2p = -12 + 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. 1 + -2p + -6p = -12 + 6p + -6p Combine like terms: -2p + -6p = -8p 1 + -8p = -12 + 6p + -6p Combine like terms: 6p + -6p = 0 1 + -8p = -12 + 0 1 + -8p = -12 Add '-1' to each side of the equation. 1 + -1 + -8p = -12 + -1 Combine like terms: 1 + -1 = 0 0 + -8p = -12 + -1 -8p = -12 + -1 Combine like terms: -12 + -1 = -13 -8p = -13 Divide each side by '-8'. p = 1.625 Simplifying p = 1.625
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