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Simplifying 60(p + 10) + -3(2p + 12) = -4p + 4 Reorder the terms: 60(10 + p) + -3(2p + 12) = -4p + 4 (10 * 60 + p * 60) + -3(2p + 12) = -4p + 4 (600 + 60p) + -3(2p + 12) = -4p + 4 Reorder the terms: 600 + 60p + -3(12 + 2p) = -4p + 4 600 + 60p + (12 * -3 + 2p * -3) = -4p + 4 600 + 60p + (-36 + -6p) = -4p + 4 Reorder the terms: 600 + -36 + 60p + -6p = -4p + 4 Combine like terms: 600 + -36 = 564 564 + 60p + -6p = -4p + 4 Combine like terms: 60p + -6p = 54p 564 + 54p = -4p + 4 Reorder the terms: 564 + 54p = 4 + -4p Solving 564 + 54p = 4 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 564 + 54p + 4p = 4 + -4p + 4p Combine like terms: 54p + 4p = 58p 564 + 58p = 4 + -4p + 4p Combine like terms: -4p + 4p = 0 564 + 58p = 4 + 0 564 + 58p = 4 Add '-564' to each side of the equation. 564 + -564 + 58p = 4 + -564 Combine like terms: 564 + -564 = 0 0 + 58p = 4 + -564 58p = 4 + -564 Combine like terms: 4 + -564 = -560 58p = -560 Divide each side by '58'. p = -9.655172414 Simplifying p = -9.655172414
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