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Simplifying 7p + 18 = 7(2p + -6) + 4 Reorder the terms: 18 + 7p = 7(2p + -6) + 4 Reorder the terms: 18 + 7p = 7(-6 + 2p) + 4 18 + 7p = (-6 * 7 + 2p * 7) + 4 18 + 7p = (-42 + 14p) + 4 Reorder the terms: 18 + 7p = -42 + 4 + 14p Combine like terms: -42 + 4 = -38 18 + 7p = -38 + 14p Solving 18 + 7p = -38 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. 18 + 7p + -14p = -38 + 14p + -14p Combine like terms: 7p + -14p = -7p 18 + -7p = -38 + 14p + -14p Combine like terms: 14p + -14p = 0 18 + -7p = -38 + 0 18 + -7p = -38 Add '-18' to each side of the equation. 18 + -18 + -7p = -38 + -18 Combine like terms: 18 + -18 = 0 0 + -7p = -38 + -18 -7p = -38 + -18 Combine like terms: -38 + -18 = -56 -7p = -56 Divide each side by '-7'. p = 8 Simplifying p = 8
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