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Simplifying 4(p + -2) + -3(2p + -5) = 7(4p + -3) Reorder the terms: 4(-2 + p) + -3(2p + -5) = 7(4p + -3) (-2 * 4 + p * 4) + -3(2p + -5) = 7(4p + -3) (-8 + 4p) + -3(2p + -5) = 7(4p + -3) Reorder the terms: -8 + 4p + -3(-5 + 2p) = 7(4p + -3) -8 + 4p + (-5 * -3 + 2p * -3) = 7(4p + -3) -8 + 4p + (15 + -6p) = 7(4p + -3) Reorder the terms: -8 + 15 + 4p + -6p = 7(4p + -3) Combine like terms: -8 + 15 = 7 7 + 4p + -6p = 7(4p + -3) Combine like terms: 4p + -6p = -2p 7 + -2p = 7(4p + -3) Reorder the terms: 7 + -2p = 7(-3 + 4p) 7 + -2p = (-3 * 7 + 4p * 7) 7 + -2p = (-21 + 28p) Solving 7 + -2p = -21 + 28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-28p' to each side of the equation. 7 + -2p + -28p = -21 + 28p + -28p Combine like terms: -2p + -28p = -30p 7 + -30p = -21 + 28p + -28p Combine like terms: 28p + -28p = 0 7 + -30p = -21 + 0 7 + -30p = -21 Add '-7' to each side of the equation. 7 + -7 + -30p = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -30p = -21 + -7 -30p = -21 + -7 Combine like terms: -21 + -7 = -28 -30p = -28 Divide each side by '-30'. p = 0.9333333333 Simplifying p = 0.9333333333
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