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Simplifying 3p * 2 + 7 = -9p * 2 + 4 Reorder the terms for easier multiplication: 3 * 2p + 7 = -9p * 2 + 4 Multiply 3 * 2 6p + 7 = -9p * 2 + 4 Reorder the terms: 7 + 6p = -9p * 2 + 4 Reorder the terms for easier multiplication: 7 + 6p = -9 * 2p + 4 Multiply -9 * 2 7 + 6p = -18p + 4 Reorder the terms: 7 + 6p = 4 + -18p Solving 7 + 6p = 4 + -18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18p' to each side of the equation. 7 + 6p + 18p = 4 + -18p + 18p Combine like terms: 6p + 18p = 24p 7 + 24p = 4 + -18p + 18p Combine like terms: -18p + 18p = 0 7 + 24p = 4 + 0 7 + 24p = 4 Add '-7' to each side of the equation. 7 + -7 + 24p = 4 + -7 Combine like terms: 7 + -7 = 0 0 + 24p = 4 + -7 24p = 4 + -7 Combine like terms: 4 + -7 = -3 24p = -3 Divide each side by '24'. p = -0.125 Simplifying p = -0.125
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