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Simplifying 2(2p + -10) + 2 + 4 = 7(p + -12) + 20 Reorder the terms: 2(-10 + 2p) + 2 + 4 = 7(p + -12) + 20 (-10 * 2 + 2p * 2) + 2 + 4 = 7(p + -12) + 20 (-20 + 4p) + 2 + 4 = 7(p + -12) + 20 Reorder the terms: -20 + 2 + 4 + 4p = 7(p + -12) + 20 Combine like terms: -20 + 2 = -18 -18 + 4 + 4p = 7(p + -12) + 20 Combine like terms: -18 + 4 = -14 -14 + 4p = 7(p + -12) + 20 Reorder the terms: -14 + 4p = 7(-12 + p) + 20 -14 + 4p = (-12 * 7 + p * 7) + 20 -14 + 4p = (-84 + 7p) + 20 Reorder the terms: -14 + 4p = -84 + 20 + 7p Combine like terms: -84 + 20 = -64 -14 + 4p = -64 + 7p Solving -14 + 4p = -64 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -14 + 4p + -7p = -64 + 7p + -7p Combine like terms: 4p + -7p = -3p -14 + -3p = -64 + 7p + -7p Combine like terms: 7p + -7p = 0 -14 + -3p = -64 + 0 -14 + -3p = -64 Add '14' to each side of the equation. -14 + 14 + -3p = -64 + 14 Combine like terms: -14 + 14 = 0 0 + -3p = -64 + 14 -3p = -64 + 14 Combine like terms: -64 + 14 = -50 -3p = -50 Divide each side by '-3'. p = 16.66666667 Simplifying p = 16.66666667
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