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Simplifying 7p + 5 = -8(-9 + 5) + 10(-6 + -3p) Reorder the terms: 5 + 7p = -8(-9 + 5) + 10(-6 + -3p) Combine like terms: -9 + 5 = -4 5 + 7p = -8(-4) + 10(-6 + -3p) Multiply -8 * -4 5 + 7p = 32 + 10(-6 + -3p) 5 + 7p = 32 + (-6 * 10 + -3p * 10) 5 + 7p = 32 + (-60 + -30p) Combine like terms: 32 + -60 = -28 5 + 7p = -28 + -30p Solving 5 + 7p = -28 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. 5 + 7p + 30p = -28 + -30p + 30p Combine like terms: 7p + 30p = 37p 5 + 37p = -28 + -30p + 30p Combine like terms: -30p + 30p = 0 5 + 37p = -28 + 0 5 + 37p = -28 Add '-5' to each side of the equation. 5 + -5 + 37p = -28 + -5 Combine like terms: 5 + -5 = 0 0 + 37p = -28 + -5 37p = -28 + -5 Combine like terms: -28 + -5 = -33 37p = -33 Divide each side by '37'. p = -0.8918918919 Simplifying p = -0.8918918919
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