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Simplifying 4(p + -5) = 6(p + 1) Reorder the terms: 4(-5 + p) = 6(p + 1) (-5 * 4 + p * 4) = 6(p + 1) (-20 + 4p) = 6(p + 1) Reorder the terms: -20 + 4p = 6(1 + p) -20 + 4p = (1 * 6 + p * 6) -20 + 4p = (6 + 6p) Solving -20 + 4p = 6 + 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. -20 + 4p + -6p = 6 + 6p + -6p Combine like terms: 4p + -6p = -2p -20 + -2p = 6 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + -2p = 6 + 0 -20 + -2p = 6 Add '20' to each side of the equation. -20 + 20 + -2p = 6 + 20 Combine like terms: -20 + 20 = 0 0 + -2p = 6 + 20 -2p = 6 + 20 Combine like terms: 6 + 20 = 26 -2p = 26 Divide each side by '-2'. p = -13 Simplifying p = -13
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