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Simplifying -31p + -6(5 + -6p) = 2(p + -4) + -19 -31p + (5 * -6 + -6p * -6) = 2(p + -4) + -19 -31p + (-30 + 36p) = 2(p + -4) + -19 Reorder the terms: -30 + -31p + 36p = 2(p + -4) + -19 Combine like terms: -31p + 36p = 5p -30 + 5p = 2(p + -4) + -19 Reorder the terms: -30 + 5p = 2(-4 + p) + -19 -30 + 5p = (-4 * 2 + p * 2) + -19 -30 + 5p = (-8 + 2p) + -19 Reorder the terms: -30 + 5p = -8 + -19 + 2p Combine like terms: -8 + -19 = -27 -30 + 5p = -27 + 2p Solving -30 + 5p = -27 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -30 + 5p + -2p = -27 + 2p + -2p Combine like terms: 5p + -2p = 3p -30 + 3p = -27 + 2p + -2p Combine like terms: 2p + -2p = 0 -30 + 3p = -27 + 0 -30 + 3p = -27 Add '30' to each side of the equation. -30 + 30 + 3p = -27 + 30 Combine like terms: -30 + 30 = 0 0 + 3p = -27 + 30 3p = -27 + 30 Combine like terms: -27 + 30 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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