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Simplifying 27(p + 28) + -23p = 7(p + 20) + 61 Reorder the terms: 27(28 + p) + -23p = 7(p + 20) + 61 (28 * 27 + p * 27) + -23p = 7(p + 20) + 61 (756 + 27p) + -23p = 7(p + 20) + 61 Combine like terms: 27p + -23p = 4p 756 + 4p = 7(p + 20) + 61 Reorder the terms: 756 + 4p = 7(20 + p) + 61 756 + 4p = (20 * 7 + p * 7) + 61 756 + 4p = (140 + 7p) + 61 Reorder the terms: 756 + 4p = 140 + 61 + 7p Combine like terms: 140 + 61 = 201 756 + 4p = 201 + 7p Solving 756 + 4p = 201 + 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. 756 + 4p + -7p = 201 + 7p + -7p Combine like terms: 4p + -7p = -3p 756 + -3p = 201 + 7p + -7p Combine like terms: 7p + -7p = 0 756 + -3p = 201 + 0 756 + -3p = 201 Add '-756' to each side of the equation. 756 + -756 + -3p = 201 + -756 Combine like terms: 756 + -756 = 0 0 + -3p = 201 + -756 -3p = 201 + -756 Combine like terms: 201 + -756 = -555 -3p = -555 Divide each side by '-3'. p = 185 Simplifying p = 185
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