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Simplifying -65 = 2(-3 + -7y) + -5(1 + 8p) -65 = (-3 * 2 + -7y * 2) + -5(1 + 8p) -65 = (-6 + -14y) + -5(1 + 8p) -65 = -6 + -14y + (1 * -5 + 8p * -5) -65 = -6 + -14y + (-5 + -40p) Reorder the terms: -65 = -6 + -5 + -40p + -14y Combine like terms: -6 + -5 = -11 -65 = -11 + -40p + -14y Solving -65 = -11 + -40p + -14y Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. -65 + 40p = -11 + -40p + 40p + -14y Combine like terms: -40p + 40p = 0 -65 + 40p = -11 + 0 + -14y -65 + 40p = -11 + -14y Add '65' to each side of the equation. -65 + 65 + 40p = -11 + 65 + -14y Combine like terms: -65 + 65 = 0 0 + 40p = -11 + 65 + -14y 40p = -11 + 65 + -14y Combine like terms: -11 + 65 = 54 40p = 54 + -14y Divide each side by '40'. p = 1.35 + -0.35y Simplifying p = 1.35 + -0.35y
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