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Simplifying -38 + -2p = 3p + 7(5p + 6) Reorder the terms: -38 + -2p = 3p + 7(6 + 5p) -38 + -2p = 3p + (6 * 7 + 5p * 7) -38 + -2p = 3p + (42 + 35p) Reorder the terms: -38 + -2p = 42 + 3p + 35p Combine like terms: 3p + 35p = 38p -38 + -2p = 42 + 38p Solving -38 + -2p = 42 + 38p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-38p' to each side of the equation. -38 + -2p + -38p = 42 + 38p + -38p Combine like terms: -2p + -38p = -40p -38 + -40p = 42 + 38p + -38p Combine like terms: 38p + -38p = 0 -38 + -40p = 42 + 0 -38 + -40p = 42 Add '38' to each side of the equation. -38 + 38 + -40p = 42 + 38 Combine like terms: -38 + 38 = 0 0 + -40p = 42 + 38 -40p = 42 + 38 Combine like terms: 42 + 38 = 80 -40p = 80 Divide each side by '-40'. p = -2 Simplifying p = -2
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