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Simplifying 0.01(p + -1) + 0.05(p + 4 + -3) = 0.7 Reorder the terms: 0.01(-1 + p) + 0.05(p + 4 + -3) = 0.7 (-1 * 0.01 + p * 0.01) + 0.05(p + 4 + -3) = 0.7 (-0.01 + 0.01p) + 0.05(p + 4 + -3) = 0.7 Reorder the terms: -0.01 + 0.01p + 0.05(4 + -3 + p) = 0.7 Combine like terms: 4 + -3 = 1 -0.01 + 0.01p + 0.05(1 + p) = 0.7 -0.01 + 0.01p + (1 * 0.05 + p * 0.05) = 0.7 -0.01 + 0.01p + (0.05 + 0.05p) = 0.7 Reorder the terms: -0.01 + 0.05 + 0.01p + 0.05p = 0.7 Combine like terms: -0.01 + 0.05 = 0.04 0.04 + 0.01p + 0.05p = 0.7 Combine like terms: 0.01p + 0.05p = 0.06p 0.04 + 0.06p = 0.7 Solving 0.04 + 0.06p = 0.7 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.04' to each side of the equation. 0.04 + -0.04 + 0.06p = 0.7 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + 0.06p = 0.7 + -0.04 0.06p = 0.7 + -0.04 Combine like terms: 0.7 + -0.04 = 0.66 0.06p = 0.66 Divide each side by '0.06'. p = 11 Simplifying p = 11
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