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Simplifying 5(p + -7) + -2(3t + -4) = 3p Reorder the terms: 5(-7 + p) + -2(3t + -4) = 3p (-7 * 5 + p * 5) + -2(3t + -4) = 3p (-35 + 5p) + -2(3t + -4) = 3p Reorder the terms: -35 + 5p + -2(-4 + 3t) = 3p -35 + 5p + (-4 * -2 + 3t * -2) = 3p -35 + 5p + (8 + -6t) = 3p Reorder the terms: -35 + 8 + 5p + -6t = 3p Combine like terms: -35 + 8 = -27 -27 + 5p + -6t = 3p Solving -27 + 5p + -6t = 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -27 + 5p + -3p + -6t = 3p + -3p Combine like terms: 5p + -3p = 2p -27 + 2p + -6t = 3p + -3p Combine like terms: 3p + -3p = 0 -27 + 2p + -6t = 0 Add '27' to each side of the equation. -27 + 2p + 27 + -6t = 0 + 27 Reorder the terms: -27 + 27 + 2p + -6t = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 2p + -6t = 0 + 27 2p + -6t = 0 + 27 Combine like terms: 0 + 27 = 27 2p + -6t = 27 Add '6t' to each side of the equation. 2p + -6t + 6t = 27 + 6t Combine like terms: -6t + 6t = 0 2p + 0 = 27 + 6t 2p = 27 + 6t Divide each side by '2'. p = 13.5 + 3t Simplifying p = 13.5 + 3t
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